Chemistry 1 Flashcards

1
Q

State four uses of acids and four uses of base
What is mercerized cotton in uses of bases
What is saponification reaction in uses of bases

A
Acids:
Sulfuric acid (H2SO4) is used for paints and pigments,detergents,fertilizers such as ammonium phosphate 
Acetyl salicylic acid
Tannic acidic
Citric acid
Ascorbic acid
HCL in detergents
Malic acid 
Many alkaloids (morphine, cocaine, caffeine among others) are organic bases (bitter taste, many are toxic).
-  Basesareused
•  inmedicine(antacids,alkaloids), 
•  foodpreparation(bakingsoda), 
•  cleaningagents(ammonia),
•  textiles(mercerization),
•  fertilizers(ammonia),
many basic oxides (MgO) are heterogeneous catalysts.

Mercerized Cotton: after Treating normal cotton that has α-cellulose with alkali (strong base such as NaOH)
gives normal cotton fiber strength and lustrous appearance (pearl cotton-a mercerized cotton yarn for needlework (as embroidery) ) and making it β-cellulose.

Saponification Reaction
- Bases feel soapy on fingers (react with skin lipids to form soap).
Triglyceride fat or oil + sodium hydroxide ( which is a base ) gives glycerol plus three soap molecules

Saponification is a process that involves the conversion of fat, oil, or lipid, into soap and alcohol by the action of aqueous alkali. Soaps are salts of fatty acids, which in turn are carboxylic acids with long carbon chains.

Saponification can be defined as a “hydration reaction where free hydroxide breaks the ester bonds between the fatty acids and glycerol of a triglyceride, resulting in free fatty acids and glycerol,” which are each soluble in aqueous solutions.

During saponification, ester reacts with an inorganic base to produce alcohol and soap. The reaction of an ester in the presence of a base to give sodium salt of carboxylic acid and alcohol is known as saponification and it is used in the preparation of soap.

Saponification is an exothermic chemical reaction—which means that it gives off heat—that occurs when fats or oils (fatty acids) come into contact with lye, a base. In this reaction, the triglyceride units of fats react with sodium hydroxide or potassium hydroxide and are converted to soap and glycerol.12 Jan 2020

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2
Q

State the definitions of an acid and base based on arrhenius theory,Lewis theory,bronsted Lowry
What is an important feature of bronsted lowry acid base reactions?

Why is arrhenius theory limited

A

According to Arrhenius, the acids are the hydrogen-containing compounds which give H+ ions or protons on dissociation in water and bases are the hydroxide compounds which give OH− ions on dissociation in water.

Arrhenius Acids and Bases:(oldest & simplest definition) Arrhenius acid = a substance that directly yields H+

In aqueous solution, protons (H+) bond through covalent and hydrogen bonds to water molecules (forming H3O+).
ions when dissolved in water.
Arrhenius base = a substance that directly yields OH- ions when dissolved in water.

In the Lewis theory of acid-base reactions, bases donate pairs of electrons and acids accept pairs of electrons. A Lewis acid is therefore any substance, such as the H+ ion, that can accept a pair of nonbonding electrons. In other words, a Lewis acid is an electron-pair acceptor.

According to Bronsted-Lowry theory, acid is a substance which donates an H+ ion or a proton and forms its conjugate base and the base is a substance which accepts an H+ ion or a proton and forms its conjugate acid.
Bronsted Lowry
An acid is a proton donor, any species which donates a H+.
A base is a proton acceptor, any species which accepts a H+.
An acid-base reaction can now be viewed from the standpoint of the reactants AND the products.
An acid reactant will produce a base product and the two will constitute an acid - base conjugate pair.

Proton Transfer is an essential feature of Brønsted acid-base reactions
Example, NH3 (base, H+ acceptor) + H2O (acid, H+ donor) gives NH4 (acid, H+ donor) + OH (base, H+ acceptor)
The NH3 accepted a proton from H2O to become NH4
This reaction is reversible so if NH4 is going back to become NH3,it donates an H+ to OH which accepts it
That’s how you’ll know which is the acceptor and which is the donor

The Arrhenius definition is the narrowest view of acids and bases and Lewis theory is the broadest definition

We know that aqueous NH3 tests basic, but it does not satisfy the narrow definition given of an Arrhenius base..

Arrhenius theory is known to be the most limited of the three theories since it requires the solutions to be aqueous. It only applies to substances that produce Hydrogen ions (H+) or hydroxide ions (OH−). 1- An acid is expected to be an acid in any solvent.

According to the theory of Arrhenius, the reaction between HCl and NH3 is not considered as acid-base reaction because none of these species gives H+ and OH− ions in water.

No… according to Arrhenius a base is one which dissolves in water to give OH- ions.

But instead NH3 is a Bronsted and Lewis base.

It is a Bronsted base because it is a proton acceptor, and a Lewis base because it is an electron pair donor

We know that aqueous NH3 tests basic, but it does not satisfy the narrow definition given of an Arrhenius base.
• Weneedabroaderdefinition! • What’smissing?
Arrhenius Brønsted Lewis
One obvious answer is the role of water:
NH3 (aq) + H2O (l) ⇆ NH4+ (aq) + OH- (aq)
Better, but even in the absence of water…….
NH3 (aq) + HCl (aq) ⇆ NH4+ (aq) + Cl- (aq)
What do these reactions have in common?

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3
Q

What is a conjugate acid base pair
How will you identify it
In this equation what’s the conjugate acid base pair
HNO2(Aq) + H2O(l) ➡️⬅️ NO2(aq) + H3O

1) What is the conjugate acid of each of the following: (a) HS- (b) H2NNH2(hydrazine or N2H4) (c) SO42-
2) What is the conjugate base of each of the following: (a) HS- (b) H2NNH2 (c) H2SO4

A

Conjugate acid-base pair = two species whose + formulas differ by a single H
Examples: HCN/CN- H2O/H3O+ H2O/OH-
Conjugate acid = a species with one more H+ than its conjugate base
Conjugate base = a species with one fewer H+ than its conjugate acid

a conjugate acid–base pair consists of two substances that differ only by the presence of a proton (H⁺). A conjugate acid is formed when a proton is added to a base, and a conjugate base is formed when a proton is removed from an acid.

The formula of the conjugate acid is the formula of the base plus one hydrogen ion. … Acid1 is HCl its conjugate base is base1 hydroxide ion is base 2 and its conjugate acid (water) is acid2

The conjugate acid has one H+ more than it’s counterpart substance 
HNO2-acid
NO2-conjugate base 
H2O-base
H3O-conjugate acid (H+ was added to it)
  1. a.H2S
    b. Hydrazinium or N2H5+
    c. HSO4

2.a. The conjugate base of hydrogen sulfide anion, HS− , is sulfide ion, S2− .
b.
c. HSO4

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4
Q

What are strong acids and weak acids

Look at a picture in the chem slides on examples of acids and their conjugates

A

Strong acids are strong electrolytes:
100% + −
HNO (aq) + H O(l) “””“→ H O (aq) + NO (aq) 3233
Weak acids are weak electrolytes:
~1% + -
HF(aq) + H O(l) !!!→ H O (aq) + F (aq) 2 ←!!!3
Some substances have negligible acidity in water: CH3OH(aq) + H2O(l) !!→ ~noreaction
• The stronger an acid, the weaker its conjugate base.
• The stronger a base, the weaker its conjugate acid.

Strong acids are
completely dissociated in
water.
Their conjugate bases are quite weak.
• Weak acids only
dissociate partially in
water.
Their conjugate bases are weak bases.
• Strong bases are completely dissociated in water.
Their conjugate acids have negligible acidity.

Acid-Base Reactions (strong acid)
• In any acid-base reaction, the equilibrium will favor the reaction that moves the proton to the stronger base (weak acid is formed).
• Consider HCl (strong acid) in water:
HCl(aq) (acid (1) ) + H2O(l) base (2) (⎯⎯→ H3O+(aq) (acid 2) + Cl-(aq)(base 1)

H2O is a much stronger base than Cl-, so the equilibrium lies so far to the right that K&raquo_space;>1.

Acid-Base Reactions (weak acid)
• In any acid-base reaction, the equilibrium will favor the reaction that moves the proton to the stronger base. – This still holds true.
base (2)
CH3CO2H (aq) + H2O (l) acid (1)
acid (2)
H3O+ (aq) + CH3CO2- (aq) base (1)
Acetate is a stronger base than H2O, so the equilibrium favors the left side (K < 1).

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5
Q

What is Autoionization of Water

Can water be acid?
How is water autonized using logs

A

Autoionization of Water
• Aswehaveseen,waterisamphoteric.
• Inpurewater,afewmoleculesactasbasesandafewactas acids…..This is referred to as autoionization.

H2O + H2O ⬅️➡️ OH + H3O
• The equilibrium constant for this reaction is:
Kw = [H+][OH-] = [H3O+][OH-] = 1.0x10-14 at 25 °C

Can Water Be an Acid?
Consider the consequences:
H2O(l) H+(aq) + OH-(aq) The equilibrium constant for this reaction is:
Kw = [H+][OH-] Remember to
= 1.0 x 10-14 at 250C
leave out pure liquids and solids
A change in [H+] causes an inverse change in
[OH-].
In an acidic solution, [H+] > [OH-] In a basic solution, [H+] < [OH-] In a neutral solution, [H+] = [OH-]

Autoionization of water: using Logs
H2O(l) H+(aq) + OH-(aq) The equilibrium constant for this reaction is:
Kw = [H+][OH-] = 1.0 x 10-14 at 25 °C
-log(Kw) = -log([H+][OH-]) = -log( 1.0 x 10-14)
pCl used in environmental science for chlorine concentration.
pKw = -log([H+]) + -log([OH-]) = 14 pKw =pH+pOH=14
pOH = -log10[OH-]

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6
Q

What is the pH scale
Remember: Quick Math Review (from appendix A)
• If 10n=A, the logarithm base 10 of A is n, or log10 A = n.
• Becauseoftherelationshipsbetweenlogsand exponentials.
– log1=0
– log(AxB) = log(A) + log(B) & log(A/B) = log(A) - log(B) – Analogous to 10A+B = 10A x 10B & 10A-B = 10A / 10B
– LogAy =ylogA
– log10 A = ln(A) / ln(10) or ln(A) = log(A) / log(e)
Significant Figures: 3.4 x 10-4 can be written as 100.54 x 10-4 Thus, log(100.54 x 10-4 ) = 0.54 + (-4) = -3.46.
Notice only digits after the decimal are significant!
The reverse process gives 10-3.46 = 3.4 x 10-4
(3.46 in this context only has 2-significant figures!)

What is the pH of a solution with [H+]= 4.5 × 10-12 M ??
Is this solution acidic or basic?

What is the pH of a 0.048 M CsOH aqueous solution?

A

16.4 The pH Scale
To conveniently handle the fact that [H+] spans
many orders of magnitude a logarithmic scale is often used:
pH = -log10[H+]
What is the pH of a neutral solution? [H+] = 1.0x10-7 M
pH = -log10[1.0x10-7] = 7.00
Note: In a logarithm, only the numbers to the right of the decimal place are significant figures. So since the concentration has 2 significant figures, the pH has two decimal places.

pH = -log (4.5 × 10-12 M)
= 11.35
⇒ 2 significant decimal places

Is this solution acidic or basic?
The pH of an acidic solution is less than 7.
The pH of a neutral solution is 7.
The pH of a basic solution is greater than 7.
pH = 11.35 ; the solution is basic

What is the pH of a 0.048 M CsOH aqueous solution?
pKw =pH+pOH=14 pH = pKw – pOH =
= 14 - pOH

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7
Q

How is pH experimentally measured
What colour does Red Cabbage Anthocyanin turn jnto in an acidic solution and in a basic solution

Which indicator is best suited to differentiate a solution that is slightly basic from one that is slightly acidic?

when the reactant base is stronger than the product base than the reaction lies on the right
when the product is the stronger base than the reactants than the equilibrium lies on the left.
True or false

A

Less accurate measurement of pH observe color
– Litmus paper (disc. in 14th century) • “Red” paper turns blue above
~pH = 8
• “Blue” paper turns red below ~pH = 5
– or an indicator.
pH meter used for accurate measurement of pH
measure voltage

Phenolphthalein is often used as an indicator in acid–base titrations. For this application, it turns colorless in acidic solutions and pink in basic solutions.

Red cabbage contains a water-soluble pigment called anthocyanin that changes color when it is mixed with an acid or a base. The pigment turns red in acidic environments with a pH less than 7 and the pigment turns bluish-green in alkaline (basic), environments with a pH greater than 7.

Indicator: bromthymol blue and phenolphthalein but more of bromothymol blue

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8
Q

What are strong acids and strong bases

You should memorize strong acids and bases.
Memorize the strength of common acids
For a strong acid, 100% ionized in
H2O
For a weak acid, Partially ionized in
H2O
For negligible substances ,Not ionized in
H2O
A

Strong Acids
• You will recall that seven common strong acids are HCl, HBr, HI, HNO3, H2SO4, HClO3, and HClO4.
• These are, by definition, strong electrolytes and exist totally as ions, H+ ions and anions, in aqueous solution.
• For the monoprotic strong acids, [H3O+] = [acid]

Strong Bases
• Strong bases are the soluble hydroxides, which are the alkali metal (group 1A: Na, K) and heavier alkaline earth metal hydroxides (group 2A: Ca2+, Sr2+, and Ba2+).
• Again, these substances dissociate completely in aqueous solution.

Strength vs. Quantity vs. Concentration strong much concentrated
weak. little dilute
For pH,
Strength ⇒ chemical property
Quantity ⇒ mass or volume
• Concentration ⇒ quantity per unit volume
Note: strong coffee ⇒ concentrated coffee
strong acid does not mean concentrated acid
(non-scientific vs. scientific language)

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9
Q

What are weak acids
What does a smaller Ka mean?
What does a stronger acid mean for a reaction?
Explain quantitative analysis of acid and base equilibria

A
Forageneralizedaciddissociation,
HA (aq) + H2O (l) A- (aq) + H3O+ (aq)
the equilibrium expression would be
 Kc = [H3O+] [A-] divided by [HA]
•  Thisequilibriumconstantiscalledtheacid
 dissociation constant, Ka. 
•  Wewilluse‘p’again:
pKa =−log(Ka)

Quantitative Analysis of Acid/Base Equilibria
To be quantitative, remember that acid dissociation reactions are just
equilibrium reactions:
Strong acids dissociate completely into ions in water: HA(g or l) ➡️ H +(aq) + A-(aq)
Ka&raquo_space; 1

Weak acids dissociate very slightly into ions in water:
HA(aq) ⬅️➡️H+(aq) +A-(aq)
Ka &laquo_space;1

The Acid-Dissociation Constant (Ka):
[H+][A-] divided by [HA]

stronger acid means products favored means larger Ka
smaller Ka means reactants favored means weaker acid

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10
Q

Solve this

Calculate the concentrations of HNO2, H+ and NO2- in 0.20 M HNO2.(so you’re finding the equilibrium concentrations of each substance so depending on the substance concentration you’re to find,you find it)
How many ways can this be solved
How do you know how to test the validity of approximation method?
If this method fails what method do you use?
For better understanding watch the ICE tables made easy by Justin Mueller and
https://chemistrytalk.org/ice-table-chemistry/ and Equilibrium calculations by Chads prep

A
Solution:
   HNO (aq) !!→ H+(aq) + NO- (aq) 
I 0.20..          ~0.             0
C.     -x.             +x.             +x
 E.     0.20-x.     +x.              +x

The +x is always on the side with 0 and the side with a known value for the I or intial concentration always has the negative sign attached to it.
So in this example HNO has a value so the negative sign was put there but for the H and NO ,there were no values or even if only the H had no value,the side with no value always had the positive even if it’s only one substance on that side with no value
I means initial concentration
C means Chnage in concentration
E means Equilibrium concentration

For C,look at the coefficient of each substance and write it down with an c

Let x = [H+]
Ka =[H+][NO-] divided by [HNO ] =x squared divided by 0.20-x= 4.5 × 10 to the power -4

How do we solve this algebraic equation?

Option #1: Graphing Calculator

Ka = (x)multiplied by(x) divided by (0.20 - x) = 4.5 × 10to the power -4

expand: x2 = (9.0 × 10-5) - (4.5 × 10-4)x
rearrange: x2 + (4.5 × 10-4) x - (9.0 × 10-5) = 0
solve: Enter into calculator

Option #2: The quadratic formula
rearrange:
substitute:
expand: x2 = (9.0 × 10-5) - (4.5 × 10-4) x
Rearrange: x2 (ax squared)+ (4.5 × 10-4) x(bx) - (9.0 × 10-5) (c)= 0
Substitute: x= -b± square root of (b2-4ac ) divided by 2a
Solve : answer x = 9.26 × 10-3 and - 9.71 × 10-3

  • 9.71 × 10-3 is Mathematically correct, but not chemically possible.

So putting the positive answer into the equation,
[H+]=[NO2-] = x = 9.26×10-3 or 9.3×10-3M
Therefore 0.2-x = [HNO2] = 0.1903 or 0.19 M
(also note –log[H+] = -log (9.3 x 10-3) = 2.01 = pH)

Option #3: Approximation Method
Ka = (x)(x) = 4.5 × 10-4 (0.20 - x)
If: “x” is small compared to 0.20.
(as expected based on chemical principles)
Then: (0.20 - x) ≈ 0.20
Or (x)(x) divided by 0.20 is ≈ “approximately equal to” 4.5 × 10-4

x2 ≈ 0.20×4.5×10-4 = 9.0×10-5
x ≈ ±9.487×10-3 or 9.5×10-3
Note: 9.5 × 10-3 and 9.3 × 10-3 differ slightly.

Approximation Method: 5% Test
How do we test an approximation’s validity?
Less that 5% of the concentration that you are comparing to.
Example:
We assumed: (0.20 - x) ≈ 0.20
Is this true? Is “x” negligible compared to 0.20?
Check:
How large is “x” compared to 0.20?
(x divided by 0.20)multiplied by 100
= (‘9.5×10-3 divided by 0.20)multiplied 100
= 4.75%

4.75% ≤ 5% ⇒ PASSES TEST
If the test fails? Use the quadratic equation

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11
Q

Solve this
A 0.050 M solution of a weak acid has a pH of 3.56. (a) Calculate Ka for this acid.
(b) What is the percent ionized or dissociated
To understand better,watch pH calculations for weak acids and bases by chads prep

A

HA ➡️⬅️ H + A
I 0.050. 0. 0
C -10 to the power -3.56 +10 to the power-3.56. +10 to the power -3.56
E. 0.0497 0.000275 0.000275

Ka= [H+][A-] divided by [HA]
Ka= [0.000275]squared divided by [0.0497]
= 1.5 x 10 to the power -6

b. percent ionization
=( “[H+]equilibrium divided by [HA] initial )× 100%

=”0.000275 divided by 0.05 × 100%
= 0.55%

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12
Q

What are polyprotic acids

Scientists use the acid dissociation constant (Ka) to determine the strength of acids.
Why is the successive Ka decreased in polyprotic acids reactions

A

Phosphoric acid is considered a polyprotic acid.

A polyprotic acid is an acid that has more than one ionizable hydrogen (H) atom.
In other words, they have more than one acidic proton, so they can undergo more than one dissociation reaction Examples of polyprotic acids include H2SO4 and H3PO4. Let’s look at the dissociation of H3PO4(aq). Phosphoric acid has three acidic protons, and therefore, its ionization happens in three steps.

Notice in this case, that these three dissociation steps are part of a single reaction.

Ionization occurs stepwise, and each step has its own Ka. Note: (i) Ka1 > Ka2 > Ka3 Always true for polyprotic acids, i.e., each ionization step is more difficult because it is more difficult to remove H+ from a molecule as its negative charge increases.

Some Polyprotic Acids
H2S,Hydrogen sulfide
H2SO4,Sulfuric acid
H2SO3,Sulfurous acid
H3PO4,Phosphoric acid
H2C2O4,Oxalic acid
H2CO3,Carbonic acid
H2C3H2O4,Malonic acid

Calculate the overall equilibrium constant for oxalic acid.

H2C2O4⇌2H++C2O2−4

K1=5.6E-2
K2=5.4E-5

Solution
The calculation is straightforward:

Koverall=K1K2
=3.0E-6

Example: Oxalic Acid
H2 C2 O 4( a q ) !! → H + ( a q ) + H C2 O4 - ( a q )
HC 2O4 -(aq) !!→ H+(aq) + C 2O4-(aq)

Ka1 = [H+][HC2O4] divided by [H2C2O4]
= 6.5×10 to the power -2

Ka 2= [H+][C2O4] divided by [HC2O4]

=6.1×10 to the power -5

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13
Q

Calculate the concentrations of all (be careful with this) species in 0.20 M H2SO3(remember this is a polyprotic acid so it will dissociate twice) . (Ka1 = 1.7 × 10-2 and Ka2 = 6.4 × 10-8)

A

Solution: Strategy: work stepwise
1st Step: H SO (aq) !!→ H+(aq) + HSO -(aq

I 0.20 0.0 0.0
C-x +x+x
E 0.20-x +x +x

Let x=[H+]

Ka = [H+][HSO3- ] divided by [H2SO3]
= (x)(x) divided by 0.20-x
= 1.7 × 10-2

After expand and solve using quadratic equation,
x = +0.0504
Putting x back into the equation

[H+] = [HSO3- ] = x = 0.0504 M (round later)
[H2SO3] = 0.20-x = 0.20-0.0504 = 0.15M

2nd Step or second dissociation:
HSO- (aq) !!→ H+(aq) + SO2-(aq)

Let z =[SO32-]
I 0.0504 0.0504 0.0
C -z. +z. +z
E 0.0504-z. 0.0504+z. +z

Ka2
= [H+][SO3 to the power 2-] divided by[ HSO3 to the power -1]
= (0.0504 + z)(z) divided by (0.0504 - z) = 6.4 × 10-8
z = 6.4×10-8

If you were using approximation
approximation: 0.0504 + z ≈ 0.0504 - z ≈ 0.050
z = 6.4×10-8

Putting it back into the equation

[H2SO3] = 0.20 – 0.0504 = 0.15 M
[H+] = 0.0504 + z ≈ 0.0504 or 0.050 M
[HSO3- ] = 0.0504 - z ≈ 0.0504 or 0.050 M [SO32-] = z = 6.4x10-8(means raised to the power -8)M
Note: Stepwise method suitable:
If: Ka1&raquo_space; Ka2
Otherwise: a simultaneous solution required
For H2SO3
Ka1=1.7×10 to the power -2&raquo_space; Ka2=6.4×10 to the power -8
often true

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14
Q
What are strong bases 
What is base ionization constant,Kb
The smaller the Kb?
The larger the Kb?
What are the two major categories of weak bases
A

Strong bases are strong electrolytes: ! ! !
NaOH(s) → Na+(aq) + OH-(aq)
Weak bases are weak electrolytes:
NH3 (aq) + H 2O(l) !!→ NH4+(aq) + OH-(aq)

Base Ionization Constant,
Kb=[NH4+ ][OH- ] divided by [NH3 ]
Kb = 1.8×10 to the power -5

Note: Water (solvent) omitted (pure liquid).

Most bases are weak bases.
• Be familiar with the common strong bases.
e.g., NaOH, KOH, and Ba(OH)2
• Kb is a measure of base strength:
smaller Kb ⇒ weaker base
larger Kb ⇒ stronger base
for all strong bases, Kb&raquo_space;> 1
• Two major categories of weak bases:
1) Neutral molecules with lone pairs of electrons,
e.g., NH3, CH3NH2 (often with a trivalent, – N – )
2) Conjugate bases of weak acids, e.g., HCO3-, F-

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15
Q

Calculate the pH of 0.10 M CH3NH2.
(Kb = 4.4×10-4)
Take note of how the equation is written

A

CH3NH2 (aq)+H2O(l)!!→CH3NH3+(aq)+OH-(aq)
0.10. 0.0 0.0(forOH)

Kb= CH3NH3+][OH-] divided by CH3NH2
=(x)(x) divided by 0.10-x
Kb = 4.4×10 to the power -4

Use quadratic equation
x = 6.417×10-3M

Putting it back into the equation

[OH-] = x = 6.42×10-3M 
pOH = -log(6.42 x 10-3) = 2.19
pH + pOH = 14.00
pH = 14.00- pOH=14.00 -2.19
pH = 11.81
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16
Q

What is Relationship Between Ka and Kb

The Ka of hypochlorous acid, HClO, is 3.0 x 10-8. Write the Kb equilibrium expression for ClO-, and compute Kb.
Watch a video to understand

What is pKa?

Example 8: The pKa of HF is 3.17. What is the value of Kb for the F- ion?

A

[H+][OH-] = Kw

Kw = Ka for the weak acid × Kb for the conjugate base

H+ (aq) + ClO- (aq) ←”” HClO(aq) “ for
1/2Ka
H2O ( l ) ←” “ H + ( a q ) + O H - ( a q ) for Kw
ClO- (aq) +H2O(l) ←!! HClO(aq) + OH (aq)

Reference books often list pKa and pKb values for weak acids and bases rather than Ka and Kb values
pKa = -log(Ka) 
pKb = -log(Kb) 
It follows from, Kw = Ka × Kb
That, pKw = pKa + pKb = 14.00

14 – 3.17 = pKb
= 10.83
Kb = 10-10.83= 1.5 × 10 to the power -11
Learn a bit of logarithms to help you understand

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17
Q

Salts may be acidic, basic or neutral.
Give an example each
How can we predict whether a salt is acidic or basic?
What will happen to the conjugate base of a strong acid ?
Conjugate base of a weak acid?
Cation of a strong base?
Conjugate acid of a weak base ?

A
Acid Base Properties of Salt Solutions
 •  Salts may be acidic, basic or neutral.
Examples:
•  acidic salts: NH4NO3, NH4Cl, CrCl3
•  basic salts: NaCN, KF
•  neutral salts: NaBr, KCl

Q: How can we predict whether a salt is acidic or basic?
Ans: Decide if and how its ions react with water.
Hydrolysis of ions = the reaction of ions with water to produce H+(aq) or OH-(aq) ions.

Hydrolysis of Ions
• The conjugate base of a strong acid will not hydrolyze. Examples: Cl-, NO3-, ClO4-

ClO4-(aq) + H2O(l)➡️no reaction

• The conjugate base of a weak acid will hydrolyze.
Examples: F-, CN-, HCO3-, CO32-

F-(aq) + H2O(l) ⬅️➡️HF(aq) + OH-(aq)

• The cation of a strong base will not hydrolyze. Ex. Na+, K+, Ba2+

K+(aq) + H2O(l)➡️no reaction

• The conjugate acid of a weak base will hydrolyze.
Ex. NH4+, CH3NH3+, NH3OH+

CH3NH3+(aq) + H2O(l) ⬅️➡️CH3NH2(aq) + H3O+(aq)

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18
Q

How do you Predict acidity or basicity of salts in aqueous solution
Memorize the common weak acids,based,strong acids and strong bases in the slides
What’s a quicker way of finding out if a salt is acidic base or neutral

A

(1) Identify the ions formed in an aqueous solution.
H2O + - NaCN(s) !!!→ Na (aq) + CN (aq)

(2) Assume cation and anion react with water (H+,OH-).
Na+(aq) + H2O(l) !!→ NaOH(aq) (strong base) + H+(aq)

CN-(aq)(weak base) +H2O(l) !!→ HCN(aq) (weak acid) + OH-(aq) 2 ←!!

(3) Determine which of the reactions is realistic in solution (or both are).

1) Identify the ions formed in an aqueous solution. 4 !!! 4
NH4Cl(s) → NH4 +(aq) + Cl-(aq)

(2) Assume cation and anion react with water (H+–OH-).
NH4+(aq)(Weak acid ) + H2O(l) !!→ H3O+(aq) + NH3(aq)(Weak base)

Cl−(aq) +H2O(l) ““→ HCl(aq)(Strong acid) + OH−(aq)

(3) Determine which of the reactions is realistic in solution (or both are).

A quicker way of deciding whether a salt is acidic, basic or neutral …
Binary salts have two “parents” – an acid and a base, i.e., acid + base → salt + water
(1) Work backwards and identify a salt’s “parents.”
Example-NaF is made up of NaOH (strong) and HF(weak)
So it’s a Basic salt
NH4Br is made up of NH3(weak) and HBr (strong) so it’s an acidic salt
KNO3 is made up of KOH(strong) and HNO3(strong)
So it’s a neutral salt
(2) Label each acid or base strong or weak.
(3) Only those cations or anions whose conjugate is weak will hydrolyze.
Ex. X- ⇒ OH- Basic
M+ ⇒ H+
Acidic

What if both ‘parents’ of a salt are weak?
NH4CN
= weak acid
⇒ NH4+ is a weak acid and CN- is a weak base.
weak base = NH3
Weak acid=HCN
So for NH4CN no matter how you put it both ways are both weak so you use this
Data: Ka (NH4+) = 5.6 x 10-10
Kb (CN-) = 2.0 x 10-5
Ans: If Kb(CN-) > Ka(NH4+) ⇒ basic solution
If Kb(CN-) < Ka(NH4+) ⇒ acidic solution If Kb(CN-) ≈ Ka(NH4+) ⇒ ~neutral
Conclusion: Kb > Ka ⇒ basic solution

For an ampiphrotic ion,NaHS
strong base =NaOH H2S= weak acid

⇒ HS- is a weak base but also is a weak acid!

H2S(aq) + OH-(aq)➡️⬅️HS-(aq) + H2O(l)   ➡️⬅️S2- (aq)+ H3O+(aq)
Data: Ka (HS-) ~ 10-19 
Ka (H2S) ~ 10-7
Kb (HS-) = 10-14/10-7= 10-7
Conclusion: Kb > Ka ⇒ basic solution
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19
Q

What is hydrolysis of metals
What does it depend on
What factors determine acid strength

A

This explains the acidity of aqueous metal ion solutions. Not significant for alkali metal or alkaline earth metal ions

Dependence on Cation Charge and Size
Ø The pull of electron density toward the cation weakens the polar O—H bond of the water molecule and allows the transfer of an H+ ion to a nearby water molecule.
• As a result, hydrated cations tend to be acidic, with their acidities increasing with increasing charge and decreasing size

Consider the binary acid HX,
HX(aq) !!→ H+(aq) + X-(aq) ←!!
Three major factors determine the strength of this acid:
(1) H–X bond polarity: δ+ 
• amorepositiveH ⇒ amoreacidicH 
(2) H–X bond strength:
• a weaker H–X bond ⇒ a more acidic H
(3) Conjugate base stability:
• amorestableX- ⇒ amoreacidicH
Other factors: solvent, polarizability,.

For binary acids of the same group,
(weakest) HF «< HCl < HBr < HI (strongest)
Here the bond strength is more important than the bond polarity or electro negativity difference

For binary acids of the same period ,
(weakest) CH4 < NH3 &laquo_space;H2O < HF (strongest)
Note: Herebondpolarityisclearlymoreimportant than bond strength.

The more polar the H-X bond and/or the weaker the H-X bond, the more acidic the compound.
• So acidity increases from left to right across a row and from top to bottom down a group in the periodic table

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20
Q

What is an oxyacid and what determines its strength
What are Lewis acids and bases
Identify the Lewis acids and Lewis bases in the following reactions:
a) H+ + OH-➡️⬅️H2O
(b) Cl- + BCl3⬅️➡️BCl4
(c) K+ + 6H2O➡️⬅️K(H2O)6
(Hint: Look for electron pair acceptors (acids) and donors (bases).)

A

In oxyacids
(an -OH is bonded to another atom, Y)
the more electronegative Y is,
the more acidic the acid.

Example inHCLO, the OH is bonded to CL

For a series of oxyacids, acidity increases with the number of oxygens.

Resonance in the conjugate bases of carboxylic acids stabilizes the base and makes the conjugate acid more acidic.

Lewis Acids and Bases
Acid = an electron pair acceptor Ex: H+, BF3 & CO2
Base = an electron pair donor Ex: OH-, NH3 & NF3

Note: ALewisaciddoesnothavetocontainH+ions. A Lewis base does not have to contain OH- ions.

Lewis acids are defined as electron-pair acceptors.
• Atoms with an empty valence orbital can be Lewis acids.

Lewis bases are defined as electron-pair donors.
• Lewis bases can interact with things other than protons, H+, however (Brønsted base).

SOLUTION:
(a) H+ + OH-
(b) Cl- + BCl3
H2O BCl4-

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21
Q

Solve:

If the pH = 2.00 for an HNO3 solution, what is the concentration of HNO3?
A. 0.10 M 
B. 0.20 M 
C. 0.010 M 
D. 0.020 M
E. 0.0010 M
 Practice Problem 2
 If the pH = 10 for a Ca(OH)2 solution, what is the concentration of Ca(OH)2?
A. 1.0 x 10–10 M 
B. 5.0 x 10–11 M 
C. 1.0 x 10–2 M 
D. 5.0 x 10–5 M 
E. 2.0 x 10–2 M
 Practice Problem 3
 A 1.0 M solution of a weak acid with pKa = 8.0 will have a pH of about \_\_\_.
A.  pH=2 
B.  pH=4 
C.  pH=6 
D.  pH=8 
E.  pH=10
A
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22
Q

What are the rules for assigning oxidation state

The oxidation state of chromium in the dichromate ion, Cr2O72-, is _______.
a. –1 b. +3 c. +6 d. +7

A

Rules for assigning oxidation state (number):
1. An element in the pure state is zero.
Al(metal), C(coal), Cl2 (gas) all equal 0.
2. A monoatomic ion equals its charge.
Na+ +1 S2- -2 Fe3+ +3
3. Sum of ox states for all atoms in a neutral formula is zero.
AlCl3: Al3+ =+3 Cl─ =-1
(+3) + 3(-1) = 0
4. Sum of ox states of all atoms in polyatomic ion = ion charge.
ClO3─ : O = -2 Cl = +5
(+5) + 3(-2) = (+5) + (-6) = -1

charge that would be present on an atom if the electrons were assigned to the more electronegative atom with convention:
Group 1A Li, Na, K +1 (NaCl) 
Group 2A Mg, Ca +2 (CaCO3)
Hydrogen H.        +1 (HNO3)
Fluorine F              -1 (CF4)
Oxygen O             -2 (H2O) 
Group 7A  (usually Cl, Br, I) -1 (AgBr)
Group 6A -2 (CdS) 
Group 5A -3 NH3

Priority tracks with electronegativity.

O is the most electronegative the oxidation number of O is -2 7 O: -2x7 = -14
overall charge -2 =>
Cr2 must have +12 => single Cr +6

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23
Q

What is electrochemistry,an electrochemical cell
How does this cell work?
What is a charge,current,potential,potential difference,resistance,current ,capacitance and state their units

A

Electrochemistry - relationship between chemical change and electrical work
• Electrochemical cell - systems that incorporate a redox reaction to produce or utilize electrical energy.
Such system …
– does work by releasing energy from a spontaneous
reaction to produce electricity – voltaic cell
– does work by absorbing energy from a source of electricity to drive a nonspontaneous reaction – electrolytic cell

Charge (Q) – fundamental property – properties of elementary particles (protons and electrons)
the measure of charge is coulomb (C) : 1.60219 x 10-19 C for a single electron
Faraday’s constant – (Avagadro’s number) x (electron charge)
6.0228 x 1023 (e-/mol e-) * 1.60219 x 10-19 (C/e-) = 96485 (C/mol e-)
Current (I) – rate of charge flow along conductor path (either e- in metal or ions in solution) measured in Amperes (A) : 1 A = 1 C/s
Potential – the potential energy of a unit charge at a particular point in a circuit
defined as the potential energy involved in moving a charge of 1 C to that point from infinity (difficult to measure).
Potential difference (Voltage (V)) – difference in potential between two points 1 V defined as 1 J of work required to move 1 C
Resistance (R) – obstruction of current flow.
Ohm’s law (V = I×R) R has units of ohms ()
Capacitance (C) – tendency of a device with two conductors separated by an insulator to absorb charge when the voltage between the conductors is changed.
units are Farads (F) : Q = C ΔV: also Q = I Δt
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24
Q

What is oxidation
What is reduction
What is an oxidizing agent
Reducing agent

For redox reactions The total number of electrons gained by atoms/ions of oxidizing agent always equals the total number of electrons lost by the atoms/ions of the reducing agent. True or false

Zn + Cu2+ ➡️Zn2+ + Cu
The reducing agent in the reaction above is \_\_\_\_\_\_\_. And \_\_\_\_\_\_\_\_\_ is reduced. 
a. Zn
a. Zn
b. Cu2+ 
c. Zn2+ 
d. Cu
b. Cu2+ 
c. Zn2+ 
d. Cu

How do you balance redox reactions. State the two methods ?

A

of Definitions (Review of Chapter 4)
Oxidation - loss of electrons (OIL) Reduction - gain of electrons (RIG)
Oxidizing agent - species that does the oxidizing - taking electrons from substance being oxidized.
Oxidizing agent is reduced in the process.
Reducing agent - species that does the reducing - giving electrons to the substance being reduced.
Reducing agent is oxidized.
The total number of electrons gained by atoms/ions of oxidizing agent always equals the total number of electrons lost by the atoms/ions of the reducing agent.

Answers: reducing agent is Zn and Cu2+ is reduced

A reducing agent reduces other substances and loses electrons; therefore, its oxidation state increases. An oxidizing agent oxidizes other substances and gains electrons; therefore, its oxidation state decreases

Two Methods of Balancing Redox Equations:
•Oxidation number method – Ch. 4 (section 4.4)
•Half-reaction method – Ch. 20
•Divides the overall redox reaction into oxidation and reduction half-reactions
Example: It is known that acidic Cr2O72− (dichromate ) solutions oxidize Zn metal to Zn2+ forming Cr3+. Where do H2O and H+ appear in the balanced equation?
(Use the half-reaction method to solve.)

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25
Q

Using the half reaction method Complete and balance the equation: Cr2O72−(aq) + Zn(s)  Cr3+(aq) + Zn2+(aq) (acidic)

A

Exercise: Complete and balance the equation: Cr2O72−(aq) + Zn(s)  Cr3+(aq) + Zn2+(aq) (acidic)

Step 1. Separate into two half-reactions. Cr2O72− ➡️Cr3+
Zn(s) ➡️Zn2+

Step 2a. Balance all elements except O and H.
Cr2O72−  2Cr3+
Zn(s)  Zn2+

Step 2b. Balance O using H2O.
Cr2O72−  2 Cr3+ + 7 H2O
Zn(s)  Zn2+

Step 2c. Balance H using H+.
14H+ + Cr2O72−  2Cr3+ + 7H2O
Zn(s)  Zn2+

Step 2c. Balance charge using e−.
6e− + 14H+ + Cr2O72−  2Cr3+ + 7H2O
(Left: +14 −2 = +12 Right: +6 +0 = +6  add 6 e− to the left)
Zn(s)  Zn2+ + 2e−
(Left: = 0 Right: = +2  add 2e− to the right)

Step 3. Multiply by factors to equate e− loss and gain.
(6e− + 14H+ + Cr2O72−  2Cr3+ + 7H2O )multiplied by 1
(Zn(s)  Zn2+ + 2e− )multiplied by 3

3Zn(s)  3Zn2+ + 6e−

Step 4. Add balanced half-reactions.
6e− + 14H+ + Cr2O72−  2Cr3+ + 7H2O
3Zn(s)  3Zn2+ + 6e−

14H+ + Cr2O72− + 3Zn  3Zn2+ + 2Cr3+ + 7H2O

Step 5. Double check mass and charge balance.
left-14H = 14H-right 
2Cr = 2 Cr
7O=7O 
3Zn = 3Zn
\+14 −2 +0 = +6 +6 +0 
The equation is balanced!
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26
Q

Complete and balance the equation:
MnO4−(aq) + Br−(aq)  MnO2(s) + BrO3−(aq) (basic)
Using half reaction method

Do free electrons appear anywhere
in the balanced equation for a redox reaction? If yes, where?
a) Yes, on the left-hand side of the balanced equation for a redox reaction.
b) Yes, on both sides of the balanced equation for a redox reaction.
c) No, the electrons do not appear in half-reactions and they do not appear in a balanced equation for a redox reaction.
d) No, the electrons cancel in adding half-reactions to form a balanced equation for a redox reaction.

A

Steps 1 - 4. Balance as if it were acidic.
2H+ + 2MnO4− + Br−  2MnO2 + BrO3− + H2O

Step 4b. Neutralize the H+ by adding OH– to both sides.
Add 2 OH– to both sides.
2H2O + 2MnO4− + Br−  2MnO2 + BrO3− + H2O + 2OH−
(2H+ +adding the 2OH have the 2H2O)

Step 4c. Cancel H2O if necessary.
H2O + 2MnO4− + Br−  2MnO2 + BrO3− + 2OH−

Answer is d

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27
Q

Balance the following skeleton reaction in acidic solution.
Identify the oxidizing and reducing agents.
ClO3-(aq) + I-(aq)I2(s) + Cl-(aq)

A
Oxidizing agent (taking electrons) is I-
Reducing agent (giving electrons) is ClO3-
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28
Q

What are the two basic types of electrochemical cells
Whataterials are they found in ?
What electrodes are seen in these batteries and at which electro does oxidation occur and at which electrode does reduction occur?
What happens in the Zn/Cu2+ cell?

Why does the intensity of the blue solution color lessen as the reaction proceeds?
a. The blue color of Cu2+(aq) lessens as it is reduced to Cu(s). b. The blue color of Cu(s) lessens as it is reduced to Cu2+(aq). c. The blue color of Zn2+(aq) lessens as it is reduced to Zn(s). d. The blue color of Zn(s) lessens as it is reduced to Zn(s).

Why are Zn2+(aq) ions not colored?

A

Two basic types of electrochemical cells:
• voltaic cell (galvanic cell) = a cell that uses a spontaneous chemical reaction to produce electrical energy (∆G < 0)
• All batteries contain voltaic cells.
• electrolytic cell = a cell that uses electrical energy to
drive a nonspontaneous reaction (∆G > 0)
- Electroplating and recovering metals from ores involve
electrolytic cells
Both types employ two electrodes:
• an anode, at which oxidation occurs
• a cathode, at which reduction occurs
•an ox, red cat(reduction at cathode)

Voltaic Cells
The Zn/Cu2+ Cell
• Zinc metal reacts spontaneously with solutions containing Cu2+.
Zn(s) + Cu2+(aq) ➡️Zn2+(aq) + Cu(s)

15mins later • The Zn loses 2 e− and the Cu2+ gains 2 e− so electron transfer has occurred.

For this flow of electrons to be useful, the e− must do work passing through an external circuit.

The reaction for copper at the cathode 2 e− + Cu2+(aq) → Cu(s)
The reaction for zinc at the anode
Zn(s) → Zn2+(aq) + 2 e−

Answer is a.

Solution. Zn2+ ions are colourless due to the absence of any unpaired electrons in its 3d-orbital.

Zinc has no unpaired electrons in has a stable fully filled d orbital its d orbital and state. Thus due to absence of unpaired electrons Zn2+ salts are colourless.

29
Q

What are the parts of the The Zn/Cu2+ Cell System
What happens in this cell system
Current (flow of electric charge) consists of
a flow of electrons and a flow of ions.
True or false

A

Zn anode
Switch
Voltmeter
Salt bridge or porous barrier : neutralizes tbe Change in charge . The main function of a salt bridge is to help maintain the electrical neutrality within the internal circuit. It also helps in preventing the cell from taking its reaction to equilibrium. a salt bridge is a junction that connects the anodic and cathodic compartments in a cell or electrolytic solution.

Sodium Chloride (NaCl), Potassium Chloride (KCl), Potassium Nitrate (KNO3) is generally used electrolyte. The electrolyte needs to be relatively unreactive with other chemicals in the cell and have cations and anions with similar migratory speed (comparable ion charge and molecular weight)

Copper cathode

The Zn/Cu2+ Cell System Components
• On the left: Zn(s)  Zn2+(aq) + 2 e−
electrons flow out of this half-cell via the wire
• On the right: 2 e− + Cu2+(aq)  Cu(s)
electrons flow into this half-cell via the wire
• On the left: Solution neutrality is maintained by the flow of ions
(1) Zn2+ ions: half-cell ➡️salt bridge
(2) NO3− ions: salt bridge ➡️ half-cell

• On the right: Solution neutrality is maintained by the flow of ions:

(1) Na+ ions: salt bridge ➡️half-cell
(2) NO3− ions: half-cell ➡️ salt bridge

  • In the cell, electrons leave the anode and flow through the wire to the cathode.
  • As the electrons leave the anode, the cations dissolve into the solution in the anode compartment.

The electrons reach
the cathode and make it negative.
• Cations in the cathode compartment are attracted to the now negative cathode.
Voltaic Cells (cont.)
• The electrons are taken by the cations, and the neutral metal is deposited on the
cathode.

30
Q

What are the rules in the voltaic cell notation

Q: Do all voltaic cells have salt bridges?
Q: Are all electrodes “active?”

A

Example: Zn/Cu2+ cell
Zn(s) │ Zn2+(1.0 M) ║ Cu2+(1.0 M) │ Cu(s)
• Oxidation half-cell is on the left; reduction is on the right. • Vertical line, │, implies a phase boundary.
• Vertical double line, ║, implies a salt bridge.
• Phases, concentrations & pressures are in parentheses.
• Commas separate species in the same phase.
• Half-cell components usually appear in the same order as in their half-cell reactions.

Yes they all have salt bridges
Without the salt bridge, the solution in the anode compartment would become positively charged and the solution in the cathode compartment would become negatively charged, because of the charge imbalance, the electrode reaction would quickly come to a halt.

No not all electrodes are active 
Half cell reactions such as:
Fe2+(aq)  Fe3+(aq) + e−
require an inactive electrode, e.g., platinum or graphite. The half-cell notation:
Pt │ Fe2+(0.2 M), Fe3+(0.4M)

An active electrode is defined as a metal that is used in electrochemical cells. These electrodes can be oxidized or reduced. The active electrode is called ‘active’ because it actively participates in the chemical reaction

31
Q

Why does a voltaic cell work
What is a standard cell potetial
What’s the SI unit of electrical potential.?
What is cell potential
How ar ethe potentials of electrodes measured
How is the standard electrode potential obtained?
Which substances are reactive and gain electrons and have a positive standard electrode potential ? And which tend to lose electrons ?

Oxidizing and Reducing Agents
The greater the difference (gradient in potential) between the two,
the greater the voltage of the cell.
True or false

A

• A voltaic cell “works” because the two half-cells contain species that differ in their tendency to gain electrons.
• The electrical potential difference between the two half- cells is termed the cell potential, voltage, electromotive force (emf) or Ecell.
• The standard cell potential (Ecell), is the cell potential when operated under the following standard conditions:
1 atm, 1 M, pure liquids & solids, and usually 298 K.
• The SI unit of electrical potential is the volt: 1 V = 1 J/C = 1 joule/coulomb
• For a spontaneous (voltaic) cell reaction: Ecell > 0

• A cell potential is the potential difference between two electrodes (half-cells).
• This implies that each half-cell has a potential.
• How can the potential of a single half-cell (either ox. or red.)
be measured? – relative to SHE
• The potential of the standard hydrogen electrode (SHE) as
0.0 volts.

2H+(aq,1M) + 2e− ➡️⬅️H2(g,1atm)
This half reaction has a standard electrode potential of 0.0vplrs making it suitable to be a SHE

• The potentials of all other electrodes are measured relative to the SHE.
• If the second electrode is operated under standard conditions
the standard electrode potential is obtained.

Fluorine and chlorine are very reactive and tend to gain electrons.
Standard electrode potentials measure the ease with which a species can be reduced.
Alkali metals such as sodium and lithium are very reactive but tend to lose electrons.
As the standard electrode potential increases,the strength of the oxidizing agent increases and as the standard electrode potential decreases or it becomes more negative ,the strength of the reducing agent increases

32
Q

How is the standard cell potential calculated?

Q: What if Ecell < 0?
Q: What if not 1M?

A

The standard potential of a cell is calculated using,
Ecell = E red(cathode) - E red (anode)

Example:
Zn/Cu2+ cell
Zn(s) │ Zn2+(1.0 M) (oxidation anode)║ Cu2+(1.0 M) (reduction cathode)│ Cu(s)

Ecell = E(cathode) − E(anode)
= ECu − EZn
= +0.34V − (−0.76V) = +1.10V
Ans: reaction is not spontaneous as written.
Q: What if not 1M? Ans: shift in equilibrium…driving force

33
Q

Given Eredo values for the two electrodes in a standard voltaic cell, how do you determine which electrode is the cathode?

a. The electrode with the more positive Eredo value is associated with the cathode.
b. Theelectrodewiththelesspositive(more negative) Eredo value is associated with the cathode.

What is the standard cell potential of Zn if it’s cathode is H2

Write the following reaction as a spontaneous redox reaction
Ag+(aq) + e-➡️Ag(s) Esilver = 0.80 V Sn2+(aq) + 2e-➡️Sn(s) Etin = −0.14 V

A

Answer is A

Ecell = Ecathode − Eanode = ESHE (because the cathode is H2) − EZn = 0.00 − EZn = 0.76 V
EZn = −0.76 V

1) Reverse one of the steps into an oxidation reaction such that a positive cell potential results.
Ag+(aq) + e-  Ag(s) Esilver = 0.80 V Sn(s)Sn2+(aq) + 2e- Etin = −0.14 V

Ecell = E(cathode) − E(anode) = +0.80 – (–0 .14) = +0.94
2) Add the rearranged half-reactions to obtain a balanced overall equation.

2Ag+(aq) + 2e-2Ag(s) Esilver = 0.80 V
Sn(s)Sn2+(aq) + 2e- Etin = −0.14 V

2Ag+(aq) + Sn(s) -2Ag(s) + Sn2+(aq) Ecell = +0.94 V

1) Changing the coefficients of a half-reaction does not change the E.

2) When you reverse the half-reaction, you do not change the sign of the E for that half-reaction - the change in sign is accounted for in
E  cell = E cathode - E anode

34
Q

How do you Calculate an unknown E°half-cell from E°cell
Solve this Br2(aq) + Zn(s)Zn2+(aq) + 2Br-(aq) E°cell = + 1.83 V
E°zinc = - 0.76 V, E°bromine = ?? V

If a standard cell potential (emf) is +0.85 V at 298 K, is the redox reaction of the cell spontaneous at standard conditions and room temperature?

a. Yes
b. No
c. Not sure

A

Calculating an unknown E°half-cell from E°cell
Br2(aq) + Zn(s)Zn2+(aq) + 2Br-(aq) E°cell = + 1.83 V

Half-reactions:
Zn(s)Zn2+(aq) + 2e- E°zinc = - 0.76 V

Br2(aq) + 2e-  2Br-(aq) E°bromine = ?? V
Br2(aq) is on the cathode (reduction occurs).

E°cell = E°bromine - E°zinc = x –(–0.76) = +1.83 x=1.83-0.76= 1.07V

Answer is A.

35
Q

What is The central thermodynamic equation of electrochemistry under free energy and elelctrical work
What is the relationship between Gibbs energy ,thermodynamic equation of electrochemistry and electrical work

What is the relationship between Gibbs free energy ,and equilibrium constant
What is Gibbs free energy
In summary if delta G is less than zero ,K is more than 1 and. E cell is more than zero ,what is the reaction at standard state conditions ?
If delta G is zero ,K is 1 and. E cell is zero ,what is the reaction at standard state conditions ?

If delta G is more than zero ,K is less than 1 and. E cell is less than zero ,what is the reaction at standard state conditions ?

A

The central thermodynamic equation of electrochemistry is:
G = −nFEcell
Or if all cell components are in their standard states:
G = −nFEcell

Where:
n = moles of electrons transferred in the cell reaction
where,
F = the Faraday = 9.65  104 C/mol or J/Vmol
the charge of a mole of electrons
Units:
J(mol) J ( )

Free Energy & Electrical Work
What can this energy do for you?
In Ch. 19, we learned about Gibbs energy, delta G = wmax
where wmax is the maximum useful work obtainable.
But if, delta G = −nFEcell
then,
wmax = −nFEcell
Note: (1) Only if the cell is operated with no current flow can wmax be obtained.
(2) For any operating cell, current will flow and hence w < wmax.

Free Energy & the Equilibrium Constant

Delta G° = –RTln Keq 
If delta G= −nFEcell
then, and,
−nFEcell = – R T ln Keq  
And E cell= RT divided by nF multiplied by lnKeq

Given the E of a cell, you can calculate the equilibrium constant of the cell reaction, K, (or vice versa).

In thermodynamics, the Gibbs free energy is a thermodynamic potential that can be used to calculate the maximum amount of work that may be performed by a thermodynamically closed system at constant temperature and pressure.

In summary- reactions at standard state is spontaneous
Reaction is at equilibrium
Reaction is non spontaneous

36
Q

What does the variable n represent in the G° and E° equations?

a. Thenumberofmolesoftheoxidizingagentinthe balanced chemical equation.
b. Thenumberofmolesofthereducingagentinthe balanced chemical equation.
c. The net number of moles of gas reacting in the balanced chemical equation.
d. Thenumberofmolesofelectronstransferredinthe balanced chemical equation.

For the half-reaction Cl2(g) + 2e-  2Cl-(aq), what are the standard conditions
for the reactant and the product?
a. 1 atm pressure for Cl2(g) and 1 M solution for Cl–(aq).
b. 1 M solution for Cl2(g) and for Cl–(aq).
c. 1 atm pressure for Cl2(g) and for Cl–(aq).
d. 1 torr pressure for Cl2(g) and 1 M solution for Cl–(aq).

Use standard electrode potentials to calculate Keq at 25degrees celcius for the reaction,
2AgNO3(aq) + Cu(s)➡️⬅️ 2Ag(s) + Cu(NO3)2(aq)

Next, calculate delta G at 25degreesC for the reaction, 2AgNO3(aq) + Cu(s)➡️⬅️2Ag(s) + Cu(NO3)2(aq)

A

Answer is d.
Answer is A(check this answer properly)

Solution: Omitting the spectator ions (NO3−) yields,
2Ag+(aq) + Cu(s)➡️⬅️2Ag(s) + Cu2+(aq)
and half reactions,
x2 e− + Ag+(aq)➡️⬅️Ag(s). E=+0.80V

x1 Cu(s)➡️⬅️Cu2+(aq) + 2e− E=+0.34V

Ecell = Ecathode − Eanode
= Ereduction − Eoxidation
= (+0.80 V) − (+0.34 V)
= +0.46 V

Since 2 moles of electrons are transferred, n = 2

Ecell=RT divided by nF multiplied by InKeq
InKeq = Ecell (nF divided by RT)

ln x = 2.3 log x

logKeq =0.46V( 2divided by 0.0592V)
=15.54
Keq = antilog 15.54 = 10 to the power 15.54
Keq = 3x 10 to the power 15

Looking Back: Why didn’t we multiply E = +0.080 V x 2 ?
x2 e− + Ag+(aq) ➡️⬅️Ag(s) E = +0.80 V x1 Cu(s)➡️⬅️Cu2+(aq) + 2e− E=+0.34V
Ans: E is an intensive property (like density).

 DeltaG = −nFEcell
This is the same reaction as in the previous exercise.
x2 e− + Ag+(aq)➡️⬅️Ag(s) E=+0.80V
x1 Cu(s) ➡️⬅️ Cu2+(aq) + 2e− 
E = +0.34 V 
n=2

Ecell = Ecathode − Eanode
= (+0.80 V) − (+0.34 V) = +0.46 V

F = the Faraday = 9.65 x10to the power 4 C/mol or J/Vmol

Delta G = −nFEcell = −(2 mol)(9.65 x 10 to the power 4 J / Vmol)(+0.46 V)
= −88,780 J = −89 kJ

37
Q

What is The Nernst Equation

The Nernst Equation is most useful for determining cell potentials when _______ are non- standard.
a. oxidizing agents b. reducing agents c. ionconcentrations d. temperatures

A

The Effect of Concentration on Cell Potential:
The Nernst Equation:
Ecell=Ecell - RT divided by nF multiplied by lnQ

where, R=gasconstant = 8.314J/mol·K
T = temperature in Kelvin
n = moles of electrons transferred in the cell reaction
F = the Faraday = 9.65  104 C/mol (the charge of a mole of electrons)
Q = the reaction quotient

Eocell is the standard state cell potential, meaning the condition of [1M] for solutes or 1 bar for gases is met. Ecell is the cell potential at non standard state conditions. You can use the Nernst equation to find Ecell using Eocell.(so wherever you saw E cell before this card was actually E naught or Eo cell cuz I removed the o from there or the naught from there)

Answer is c

38
Q

Find the cell potential for the following cell operating at 25C? Cu(s) │ Cu2+(0.2 M) ║ Fe3+(0.4 M), Fe2+(0.1 M) │ Pt
Under Nernst equation
(Notice how the equation is written in the solution)

A

Determine the cell reaction.
Cu(s) ➡️Cu2+ + 2e− x1 oxid means anode
1e− + Fe3+ ➡️ Fe2+ x2 redn means cathode

Cu(s) + 2Fe3+ ➡️ Cu2+ + 2Fe2+
Determine Ecell, n, and Q for the Nernst equation:
E cell= E naught cell - RT divided by nF multiplied by lnQ

Ecell = Ecathode − Eanode
= EFe3+/Fe2+ − ECu/Cu2+
= 0.77 − 0.34 = 0.43V
n = 2 = moles of electrons transferred in the cell rxn

Cu(s) + 2Fe3+ ➡️ Cu2+ + 2Fe2+

Q= [Cu2+ ][Fe2+ ]to the power 2 divided by [Fe3+]to the power 2
= [0.2][0.1]to the power 2 divided by [0.4]to the power 2
= 0.0125

E cell= E naught cell - RT divided by nF multiplied by InQ

=0.43V - (8.314J / K mol)(298) divided by 2(96,485J /V mol) multiplied by ln(0.0125)

=0.43-( 2477 divided by 192,970) multiplied by (-4.382)
=0.43 + 0.056
Ecell = 0.49V

39
Q

What is a concentration cell

A

Concentration Cell
Consider the cell:
Ni(s) │ Ni2+(1.0  10−3 M) ║ Ni2+(1.0 M) │ Ni(s)

A cell can be created with the same substance at both electrodes.

  • For such a cell, Enaughtcell would be 0, but Q would not.
  • Therefore, as long as the concentrations are different, E will not be 0.

2e− + Ni2+➡️⬅️Ni(s) E=−0.25V
Ni(s)➡️⬅️Ni2+ + 2e− E=−0.25V

Ni2+(1.0 M) ➡️⬅️Ni2+(1.0 x 10−3 M)

Ecell = Ecathode − Eanode
= (−0.25 V) − (−0.25 V) = 0.00 V

Q=1.0×10-3
Ecell=E naught cell-RT divided by nF multiplied by InQ
Ecell = 0.00 – (0.008314 x 298/2 x 9.65 x 10tk the power4)ln0.001
= 0.0885 V
Ecell = 0.089 V

40
Q

What’s the application of concentration cells

What’s the use of a voltmeter

A

Concentration cells are an important technology used mainly in batteries. The technology is used for the transference of substance to form an equilibrium between the concoctions. Concentration cells are a limited form of galvanic cells.

An Example for this type of cell would be a cell consisting of two hydrogen electrodes which are subjected to varying pressures but are immersed in the same solutions (containing hydrogen ions)

Uses of Concentration Cells
A pH meter is a specific type of concentration cell that uses the basic setup of a concentration cell to determine the pH, or the acidity/basicity, of a specific solution.

A voltmeter (not to be confused with a different kind of voltmeter which also measures a type of energy) is used to measure the cell potential that is passed between the two sides.

For a pH electrode

pH = Ecell divided by 0.0592V

logx squared ≡ 2logx

41
Q

What are batteries and the types of batteries

A

Commercial Batteries & Fuel Cells
battery = a voltaic cell (or group of cells) that produces electricity
3 Types:
• Primary batteries – self-contained, nonrechargeable
• Secondary batteries – self-contained, rechargeable
O• Fuel Cells – not self-contained, use fuel and O2.

2 Types of Primary and Secondary Batteries:
• Wet cell – use a liquid electrolyte [in solution
] • Dry cell – use a paste electrolyte.

42
Q
Give some examples of primary non rechargeable batteries and secondary rechargeable batteries 
Who first produced fuel cells
How do fuel cells work
What are they dependent on ?
What are the parts of the fuel cell
A
Primary (Nonrechargeable) Batteries
• Alkaline Manganese Dioxide (alkaline battery)
• Lithium Manganese Dioxide
• Zinc Air
• Silver Oxide (button)
Secondary (Rechargeable) Batteries
• Lead-Acid (car battery)
• Nickel-Metal Hydride (Ni-MH)
• Nickel-Cadmium (NiCd)
• Lithium Ion

You are not responsible for identifying the cell reactions of these batteries.

Fuel Cells
• First produced by Sir William Grove in 1842
• First practical fuel cells used on Gemini and Apollo space capsules in the 1960s
• Convert hydrogen (or other combustible fuel) and oxygen (usually from air) into electricity and heat
• Use combustion similar to how electrochemical cells use redox reactions, i.e., the half-reactions are separated
• Need no recharging
• Not a battery (not self contained)
• Dependent upon suitable membrane and catalysts

A fuel cell consists of two electrodes—a negative electrode (or anode) and a positive electrode (or cathode)—sandwiched around an electrolyte(polymer membrane )
A fuel, such as hydrogen, is fed to the anode, and air is fed to the cathode.
Pt or platinum catalyst on electrodes.Electrode catalyst supports reaction between hydrogen and oxygen in a fuel cell. Electrode is a conductor that is on anode, the positive terminal for current flow out and on cathode, the negative terminal for current flow in.
A voltmeter

43
Q

How does iron corrode
What is the anodic and cathodic regions in the corrosion of iron
How can corrosion be prevented
Explain the cathodic protection method

Which of these metals could provide cathodic protection to iron:
Al, Cu, Ni, Zn?
a) Al and Cu
b) Cu and Ni
c) Al and Zn
d) Ni and Zn
A

Corrosion: when a spontaneous reaction is a problem
• The downside of electrochemistry
• Corrosion costs tens of billions of dollars annually
• Corrosion chemistry is a chemistry specialty
• You can earn a PhD in corrosion chemistry!
• Corrosion chemistry is big business, e.g., Nalco, in Naperville, IL

The Need for Oxygen
An iron nail stored in oxygen-free water does not rust. When oxygen is present (from air), oxidation is spontaneous and rust forms.

The Corrosion of Iron (Rusting)
Anodic Region (oxidation):
Fe(s) ➡️Fe2+(aq) + 2e−

Cathodic Region (reduction):
O2(g) + 4H+ + 4e− ➡️2H2O() 
Net Reaction (1st Step):
2Fe(s) + O2(g) + 4H+ ➡️ 2Fe2+(aq) + 2H2O() 

2nd Step:
2Fe2+(aq) + 1⁄2O2(g) + (n+2)H2O() ➡️ Fe2O3 x nH2O(s) + 4H+(aq)

Overall Reaction:
2Fe(s) + 3/2 O2(g) + nH2O() ➡️ Fe2O3 x nH2O(s) “rust”

So water and oxygen fall on the iron causing the rust

Fe➡️Fe2+ +2e−
(anodic region) iron dissolves

O2 +4H+ +4e− ➡️2H2O (cathodic region)

Protection against Corrosion
• Eliminate contact with corrosive factors
• Washing off road salt can help prevent
corrosions of automobiles
• Iron objects are often painted to keep out
oxygen and moisture.
• Cathodic protection - making iron behave more
like a cathode prevents corrosion
– Galvanized steel is coated with a sacrificial layer of zinc ➡️ the zinc is oxidized first instead of the iron.

Cathodic Protection Cathodic protection
suppresses corrosion by forcing the metal to be a cathode either by (1) impressing upon it a small DC current or (2) by placing it in electrical contact with a sacrificial anode.
Examples: Pipelines, hot water heaters, ships, underground
tanks, metal girders, oil platforms, and concrete rebars

Answer is C

44
Q

In an electrolytic cell,what drives a non spontaneous reaction
When will a voltaic cell be converted into an electrolytic cell
What is an electrolytic cell and what are its parts

A
Electrolysis
• ∆G > 0
In an electrolytic cell, electrical energy from an external
source drives a nonspontaneous reaction.
• Consider the voltaic cell: 
Sn(s)➡️Sn2+(aq) + 2e-
Cu2+(aq) + 2e-➡️Cu(s)

Sn(s) + Cu2+(aq)➡️Sn2+(aq) + Cu(s) E°cell = 0.48 V; ∆G= -93kJ

• Now reverse the cell:
nonspontaneous E°cell = -0.48 V; ∆G= 93kJ

This process will occur if an electric potential > E naught cell (>0.48 V) is applied. Voltaic cell has been converted into an electrolytic cell and the electrodes have been switched.

electrolytic cell = a cell that uses electrical energy to drive a nonspontaneous reaction

The electrolysis cell consists of three main parts: an anode, a cathode, and an electrolyte.(The electrolyte is usually a solution of water or other solvents in which ions are dissolved. Molten salts such as sodium chloride can also function as electrolytes. ) if molten sodium chloride is used,sodium metal forms at the cathode and chlorine gas evolves at the anode
The anode is a positive electrode while the cathode electrode is the negative.
But I’m galvanic or voltaic cell, the anode is negative and the cathode is positive

An electrolytic cell is an electrochemical cell that utilizes an external source of electrical energy (voltage applied between two electrodes) to drive a chemical reaction that would not otherwise occur. This is in contrast to a galvanic cell, which itself is a source of electrical energy and the foundation of a battery. The net reaction taking place in a galvanic cell is a spontaneous reaction, i.e, the Gibbs free energy remains negative, while the net reaction taking place in an electrolytic cell is the reverse of this spontaneous reaction, i.e, the Gibbs free energy is positive

45
Q

Explain electrolysis

State and explain two complications of electrolytic cells

A

Electrolysis
• Sodium reacts spontaneously with chlorine, 2Na(s) + Cl2(g)  2NaCl(s)
• An external source of energy is required to push a ball uphill,
and
to drive a chemical reaction in a nonspontaneous direction.

2NaCl(s)  2Na(s) + Cl2(g)
The electrolytic cell on the previous slide can written as,
Cl−(liquid )│ Cl2(g, 1 atm) ║ Na+(liquid)│ Na(liquid )

2Cl−(liquid ) ➡️ Cl2(g) + 2e−
2Na+(liquid) + 2e− ➡️ 2Na(liquid)
2NaCl(liquid) ➡️ 2Na(liquid) + Cl2(g)

Electrolytic Cell Complications
A. Competing Reactions
Q: In the preceding cell, why was molten
NaCl used rather than aqueous NaCl?
Ans: Aqueous electrolytic cells introduce “complications”.
Consider electrolysis of KI:
2l−(aq) ➡️ l subscript 2(g) + 2e (oxidation)
2 H2O(liquid) + 2 e− ➡️ H2(g) + 2 OH−(aq)
(reduction)

2H2O(liquid) + 2l−(aq) ➡️ H2(g) + 2OH−(liquid ) + l subscript 2(g)

It is easier to reduce H2O (E = −0.83 V) than K+(E = −2.93 V).

B. Overvoltage
Calculated electrolytic cell potentials (for nonstandard conditions) often underestimate the voltage required for electrolysis.

46
Q

Under electroplating and The Stoichiometry of Electrolysis How do we measure moles of electrons needed to electroplate

How many grams of silver will be electroplated using a current of 5.3 A for 1.2 hr?

How many minutes are required to produce 5.00 g of Mg(s) by electrolysis of molten MgCl2(s) if the current is 100. A?

A

The Stoichiometry of Electrolysis
1 mole of electrons are required to electroplate 1 mole of silver (Ag).
Ag+(aq) + e−  Ag(s)

Q: How do we measure moles of electrons?
1 mole e− = 9.65 x 10 to the power 4 coulombs
Amperes = A=C/s = Coulombs/second

Solution:

Solution:
s second
107.9gAg divided by mol x 1mol divided by 9.65 x 10 to the power 4 C x 5.3C divided by seconds x 1.2hr x 3600s divided by 1hr = 26gAg

Mg2+ + 2e-➡️Mg(s)
2 moles e- : 1 mole Mg

Need 2 x 5.00 g / 24.3 g/mol = 0.41 mol (of electrons)

Charge=0.41x9.65x104 C=3.97x104 C

Time=3.97x104 C/100.C/s=397s

397/60 = 6.62 min

47
Q

What is common ion effect
State ale Chateliers principle

The three most common ways to stress a system at equilibrium are changing the concentration of one of the reactants or products, changing the temperature of the system, or changing the pressure on the system
True or false

What is the pH of a solution 0.10 M in HCN (Ka = 6.2x10-10) and 0.20 M in NaCN (strong electrolyte)?
Compare: The pH of
0.10 M HCN is 5.15.

What are [Na+]
, [Cl−], [Ca2+], and [H+] in a solution containing 0.10 M each of NaCl
NaCl, CaCl2, and HCl?

A

Common Ion Effect:
• The extent of ionization of a weak electrolyte
is decreased by adding a strong electrolyte to the solution that has an ion in common with the weak electrolyte
or
• A shift in equilibrium caused by the addition
of an ion already present in solution

HF(aq) + H2O(l) ←➡️ H3O+(aq) + F–(aq)

Consider an aqueous HF solution,
HF(aq) + H2O(l) !!→ H3O+(aq) + F-(aq)

How will the addition of NaF to this solution affect the equilibrium?
NaF(s) → Na (aq) + F (aq)

⇒ F- concentration increases.
⇒ HF equilibrium shifts to the left (Le
Châtelier principle ).
Fluoride is termed a common ion – an ion common to two solutes.

Example: When NaCl and KCl
are dissolved in the same solution, the Cl− ions are common to both salts. In a system containing NaCl and KCl, the Cl− ions are common ions.

The common ion effect is an effect that suppresses the ionization of an electrolyte when another electrolyte (which contains an ion which is also present in the first electrolyte, i.e. a common ion) is added. It is considered to be a consequence of Le Chatlier’s principle (or the Equilibrium Law).

Le Chatelier’s Principle states that if an equilibrium becomes unbalanced, the reaction will shift to restore the balance. If a common ion is added to a weak acid or weak base equilibrium, then the equilibrium will shift towards the reactants, in this case the weak acid or base.

Solution:
HCN(aq) ⬅️→ H+(aq) + CN-(aq)

I 0.10. 0 0.20
C -x. +x +x
E 0.10 - x x 0.20 + x

Ka =[H+][CN−] divided by [HCN]
=[x][0.20+x] divided by [0.10 − x]
Ka is also =6.2×10−10

Ka= [x][0.20+x] divided by [0.10 − x] = 6.2×10−10

x= ≈ 3.10×10 to the power -10 = [H+]
pH =-log[H+] = -log(3.10x10-10)=9.51

Solution to question 2

Due to the conservation of ions, we have [Na+]=[Ca2+]=[H+]=0.10M.

[Cl−]=0.10(duetoNaCl).
+0.20(duetoCaCl2)
+0.10(duetoHCl)

Therefore Cl- = 0.40 M

48
Q

What is a buffer
What is it composed of
State an example of a buffer and four buffer applications
Give some examples of buffers in analytical labs

A

buffer = a solution that resists pH change when acid or base is added.
buffer composition:
a weak acid and its conjugate base, or a weak base and its conjugate acid

Example: 0.10 M HF + 0.15 M NaF
0.05 M NH3 + 0.10 M NH4Cl

buffer applications:
• biological systems, e.g., human blood, saliva
• chemical separations
• soil and aquatic chemistry

Buffers in Analytical Lab
Phosphate buffer (HPO42-/PO43-) pH~ 7
Component of PBS (phosphate buffered saline)

Borax buffer pH ~ 9
Na2[B4O5(OH)4]·8H2O

EDTA buffer pH ~ 4
for work with nucleic acids

49
Q

How does a buffer solution work

A
How does a buffer solution work?
 Assume an HX + NaX buffer.
 •  If base (e.g., NaOH) is added, HX reacts with OH- 
HX(aq) + OH-(aq) ⎯→ H2O(l) + X-(aq)
and the base is neutralized.

• If acid (e.g., HCl) is added, X- reacts with H+(H3O+)
X-(aq) + H3O+(aq) ⎯→ H2O(l)+HX(aq)
and the acid is neutralized.

If a small amount of hydroxide (OH-) is added to an equimolar solution of HF in NaF, the HF reacts with the OH− to make F− and water.
• Similarly, if acid is added, the F− reacts with H+ to form HF and water.

50
Q

How do you Calculate the pH of a buffer

What is the pH of a buffer prepared from 100 mL each -5 of 0.30 M NH3 and 0.36 M NH4Cl? Kb(NH3) = 1.8 x 10

An acid dissociation constant or ionization constant , Kₐ, is a quantitative measure of the strength of an acid in solution true or false

A

Consider weak acid HX,
HX(aq) + H2O(l) !!→ H3O+(aq) + X-(aq)

Ka =[H3O+][X-] divided by [HX]

Transform as follows:
(1) Rearrange.
(2) Take log of both sides:
log 10[H3O+]=log10Ka +log10( [HX] divided by [X-] )

3) Change signs:
−log10[H3O+] = −log10Ka − log10([HX] divided by [X-]

4) Substitute pH and pK
pH=pKa -log10([HX] divided by [X-] )

  1. Invert log argument
    pH= pKa + log10( [X-] divided by [HX] )
    This is the Henderson Hasselbach equation

Solution

Solution: [acid] = [NH4+] = 0.18 M = 0.36M x100mL/200mL
[base] = [NH3] = 0.15 M = 0.30M x100mL/200mL

The 200mL accountsfordilution, 100 mL x 2 (watch a video on this cuz I dont barb)

Ka= Kw divided by Kb
= 1.0 x 10 to the power -14 (I don’t barb why Kw is 1.0 x 10 to the power -14. Like any other equilibrium constant, the value of Kw varies with temperature. Its value is usually taken to be 1.00 x 10-14 mol2 dm-6 at room temperature. In fact, this is its value at a bit less than 25°C. ) divided by 1.8 x 10 to the power -5
= 5.55 x 10 to the power -10

pKa=-log10Ka= -log10(5.55 x 10 to the power -10)
= 9.255
pH=pKa + log10 (base divided by acid)
=9.255 + log10(0.15M divided by 0.18M)
=9.18
51
Q

How do you select the acid/base pair for a buffer of a specific pH?

Which acid, and what ratio of [base]:[acid], would be best for a pH 5.00 buffer?
(pKa: HF, 3.15; C6H5COOH, 4.19; CH3COOH, 4.74)

A

Use the Henderson-Hasselbalch eqn.

pH=pKa + log10 (base divided by acid)
If the acid = base
Then pH=pKa since log10 (base divided by acid) will be 0

Consequently,
1) ChooseanacidwhosepKais
approximately equal to the desired pH
2) Solve the Henderson-Hasselbalch equation for the exact [base]/[acid] ratio.

Solution:
Best acid = acetic acid, CH3COOH (its pKa is closest to 5.00)

pH-pK =log 10(base divided by acid)
= 5.00 -4.74
=0.26

base divided by acid= antilog (0.26) = 10 raised to the power 0.26 = 1.82
This is the base-to-acid ratio.

Next, calculate the concentrations. For example,
Just an example not really what the answer below is
if [acetic acid] = 0.100 M then
[sodium acetate] = 0.100 M × 1.82
= 0.182 M

52
Q

What is buffer range
And buffer capacity

When 5.0 mL of 0.10 M HCl (strong acid) is added to 100.0 mL of water, what is the pH change?
Difference between Molarity and Molality

2) When 5.0 mL of 0.10 M HCl is added to 100.0 mL of buffer containing 0.10 M NaA and 0.10 M HA (pKa = 7.00) what is the resulting pH? (Strong acid added to buffer)

Watch videos on this cuz I don’t barb

A

The buffer range is the pH range over which the buffer acts effectively. That is effectively neutralizes an added acid or a base.
• pH = pKa; optimal pH of any buffer Buffer range:
• pH = pKa + 1 ; log 10/1
• pH = pKa – 1 ; log 1/10

If sufficient acid or base is added to a buffer, it will be overwhelmed and the pH will change appreciably.
buffer capacity = the amount of acid or base a buffer can neutralize before the pH changes significantly
1) More concentrated buffers have a higher buffer capacity.
2) Buffer capacity is highest when the concentrations of weak acid and conjugate base are equal.

Molarity= M=moles divided by Litre
moles = MxLitre
= 0.10 M × 0.0050 L = 0.0005 mol HCl

Solution molarity= 0.0005mol divided by (0.100 + 0.005)
= 4.762×10 to the power −3M L

pH = -log [H+]
= -log (4.762 × 10-3) = 2.32

ΔpH = 7.00 – 2.32 = 4.68
pH change js 4.68

The moles of a solute per liters of a solution -Molarity
The moles of a solute per kilograms of a solvent-Molality
Units M-Molarity
Molality -m
Equation
M = moles solute / liters solution (moles divided by volume)
m = moles solute / kg solvent(moles divided by mass)

Molarity is the ratio of the moles of a solute to the total liters of a solution. The solution includes both the solute and the solvent. Molality, on the other hand, is the ratio of the moles of a solute to the kilograms of a solvent.

Mole is a measurement of the number of substances, whereas molarity is a measurement of the concentration. Molarity gives an idea of the amount of substances present in a mixture. Molarity is given as moles of a substance in one volume of a solvent. A mole is a unit whereas molarity is not.

  1. initialpH = pKa +log10( [A−] divided by [HA]
    = 7.00+0.00
    = 7.00H +. A ➡️ HA
    I 0.0005 mol. 0.010 mol. 0.010 mol

C. -0.0005 mol. -0.0005 mol. +0.0005 mol
E 0 mol. 0.0095 mol. 0.0105 mol

pH= pKa + log ( (0.0095 / 0.105 ) divided by( 0.0105/0.105) )
= 7.00−0.043 = 6.96

ΔpH = 7.00 – 6.96 = 0.04

53
Q

What is the normal pH of blood
How is blood a buffered solution
How does Alka Seltzer which is an antacid act as a buffer

A

The pH of normal human blood is ~7.4
• HCO3- / H2CO3
• Exhaling CO2 from the lungs controls the [base]/[acid] ratio by means of the equilibria: (think Le Châtelier)
H+(aq) + HCO3-(aq) ⇄ H2CO3(aq) ⇄ H2O(l) + CO2(g)
CO2 removal shifts these to the right and removes H+.
• In normal blood, [HCO3-] = 0.024 M and [H2CO3] = 0.0012 M
• This buffer has a much higher capacity to neutralize acids than bases.

Alka-Seltzer Buffer
• 1.9 g of sodium bicarbonate and 1.0 g of citric acid
H3C6H5O7(aq) + 3HCO3+(aq) → 3H2O(l) + 3CO2(g) + C6H5O73-(aq)

  • Citrate is the antacid (neutralizes acid): C6H5O73-(aq) + H+(aq) → H3C6H5O7(aq)
  • In addition, there is extra HCO3- : HCO3-(aq) + H+(aq) → H2O(l) + CO2(g) HCO3-(aq) + OH-(aq) → CO32-(aq) + H2O(l)
54
Q

What is the pH of the buffer with [HCN] = 0.100 M and [KCN] = 0.200 M. For HCN, Ka = 4.9x10–10.
What is titration
Titrant
Analyte
What is equivalent point,end point
How are equivalence points for acid base titrations determined

A

pH=pKa + log10 (base/divided by acid)

pH = 9.3 + log(0.2/0.1) 
pH = 9.3 + 0.30
pH = 9.6

titration = the accurate measurement of the volume of solution required to completely react with a sample
• Titrant is slowly added from a buret to an analyte in a flask until the equivalence point is reached.
• Titrant is usually a standard solution – a solution of accurately known concentration.
• Analyte is usually a solution of unknown concentration.

Equivalence point = The point at which stoichiometrically equivalent quantities of reactants (eg. acid and base) are brought together.
Endpoint = The point at which indicator changes color (very near to the equivalence point)

Equivalence points for acid-base titrations are determined:
• by using indicators – substances that change color very near the equivalence point.
or
• by continuous monitoring of the analyte pH.

55
Q
What is a titration curve
What’s on the y axis and the x axis
How are titration curves obtained?
Why are they useful
For titration curves what four regions are there?(strong acid strong base titration curve)
A

A titration curve is a graph.
y-axis: analyte pH
x-axis: titrant volume added

How are titration curves obtained?
Add small portions of titrant to an analyte, and after each addition measure the pH. Then plot the pH (y-axis) versus the total volume of titrant added (x-axis).

Why are titration curves useful?
A titration curve yields:
• equivalence points
• the number of replaceable H+ ions
• Ka and Kb values
• information required for choosing an indicator

For titration calculations, divide the curve into
four regions:
(1) Before any titrant is added (a single point)
(2) Region up to the equivalence point
(3) At the equivalence point (a single point)
(4) Region after the equivalence point
These 4 regions will have different species present.

Our task:
Consider the different species and the relevant equilibria.

56
Q

27.37 mL of 0.1034 M NaOH are required to neutralize 25.00mL of H2SO4. What is the H2SO4 molarity?

A

2 NaOH + H2SO4 ⎯→ Na2SO4 + 2H2O

M×V⇒ mol divided by L  xL 
=MxL=mol
  mmol L
or mmol divided by mL ×mL
=MxmL=mmol

So if you see mL use mmol not mol

0.1034 M x 27.37 mL = 2.8301 mmol NaOH

2.8301 mmol NaOH x 1mmol H2SO4 divided by 2mmol NaOH
= 1.4150 mmol H2SO4

1.4150 mmol H2SO4 divided by 25.00mL of H2SO4
= 0.05660M(since one m will cancel one m leaving mol/L) H2SO4

57
Q

How do you use each of the four regions in titration curves to do titration calculations for strong acid strong base

A

Region (1): Before any titrant is added Treat as strong acid problem
Analyte: 25.00 mL 0.100 M HCl
Titrant: 0 mL 0.100 M NaOH

HCl(aq) !!!→ H (aq) + Cl (aq)
0.100. 0.100

pH = - log[H+]
= - log(0.100)
= 1.000

Volume of Titrant. pH
0.00 mL. 1.000

Region (2): Before equivalence point
Treat as limiting reagent problem

  1. 00 mL 0.100 M NaOH added
  2. 100 M x 25.00 mL = 2.500 mmol HCl 0.100 M x 5.00 mL = 0.500 mmol NaOH
           H    +.                OH ➡️ H2O Before 2.500 mmol.   0.500mmol Change. -0.500mmol.    -0.500 After      2.000mmol.     0.000
[H]=2.000mmol divided by (25+ 5.00)mL
    = 0.06667 M
pH= -log[H]
     = - log(0.06667) 
= 1.176

Volume of Titrant. pH

  1. 00 mL. 1.000
  2. 00mL. 1.176

Region (3): The equivalence point
Treat as complete neutralization of acid (H+)

@ 25.00 mL 0.100 M NaOH added

         H+(aq) +    OH–(aq) ← →H2O(l)

before 2.500 mmol 2.500mmol
change -2.500. -2.500mmol
after 0.000. 0.000

Kw = [H+][OH-] 
Let, x = [H+] = [OH-]
Kw = (x)(x) = 1.0 x 10-14
x = [H+] = 1.0x10-7 
pH = -log(1.0x10-7)
= 7.000

Volume of Titrant. pH

  1. 00 mL. 1.000
  2. 00mL. 1.176
    1. 1.368(not relevant for now)
  3. 00mL. 7.000

Region (4): After equivalence point
Treat as limiting reagent problem
@ 25.10 mL 0.100 M NaOH added

H+(aq) + OH–(aq) ←➡️ H2O(l)

before 2.500 mmol. 2.510
change -2.500. -2.500
after ~0.000 mmol. 0.010 mmol

[OH] = 0.0100mmol divided by (25.00 + 25.10)mL
= 1.996 x 10-4 M

pOH = - log(1.996 x 10-4)
= 3.700
pH = 14 - 3.700 = 10.300

Volume of Titrant. pH

  1. 00 mL. 1.000
  2. 00mL. 1.176
    1. 1.368(not relevant for now)
  3. 00mL. 7.000
  4. 10mL. 10.300

What if a large volume of NaOH is added?

If a large volume of titrant were added, the pH that would be approached is the asymptote. (13.000)

equivalence point
V = 25.00 mL
pH = 7.00

lim [OH-] → 0.100 M
lim pOH → - log10 (0.100)
= 1.000
lim pH → 14 - 1.000 = 13.000

Volume of Titrant.              pH
25.00.                                7.000 
 25.10.                          10.300
 26.00.                          11.292
 30.00.                           11.959
 35.00.                         12.222
 40.00                         12.363
45.00.                       12.456
 50.00.                       12.522
∞.                                13.000

How would the previous titration curve appear if half the volume of HCl had been used?

25.0 mL 0.1 M HCl vs.
0.1 M NaOH
Previous before the volume of HCL was reduced to half

12.5 mL 0.1 M HCl vs.
0.1 M NaOH
This is what you’ll get if it’s been reduced by half so the 12.5 mL is half 25mL

58
Q

How do you use each of the four regions in titration curves to do titration calculations for weak acid strong base

Titration of a Strong/Weak Acids with a Strong Base Summary
With weaker acids, the initial pH is higher
and
pH changes near the equivalence point are more subtle.
pH at equivalence point increases as Ka decreases
Initial pH increases as Ka decreases
True or false

A

A Weak Acid - Strong Base Titration Curve
Example: Analyte: 25.00 mL of 0.100 M HAc,
(HAc = CH3COOH, acetic acid )
(Ka = 1.8 x 10-5 pKa = 4.745)
Titrant: x mL of 0.100 M NaOH

Strategy: Divide the curve into four regions just as we did for the strong acid/strong base titrations:

(1) Before any titrant is added (a single point)
(2) Region up to the equivalence point
(3) At the equivalence point (a single point)
(4) Region after the equivalence point

Region (1): Before titrant (NaOH) is added Treat as a weak acid problem (0 mL NaOH)

HAc (aq) + H2O(l)→ H3O (aq) + Ac (aq)

I 0.100 M. 0.0. 0.0
C. -x +x. +x
E 0.100–x x. x

Ka = [H3O+][Ac-] divided by [HAc]
= (x)(x) divided by (0.100 - x)
= 1.8×10-5
[H+] = x = 1.34x10-3

pH = - log10 [H+]
= - log10 (1.34 x 10-3)
= 2.872

Volume of Titrant. pH
0.00 mL. 2.872

Region (2): Before equivalence point
Treat as a buffer problem

  1. 00 mL 0.100 M NaOH added
  2. 100 M x 25.00 mL = 2.500 mmol HAc 0.100 M x 5.00 mL = 0.500 mmol NaOH
     HAc(aq)+OH-(aq) →H2O(l)+Ac-(aq)

before 2.500mmol 0.500 0.0
change -0.500. -0.500. +0.500
after 2.000 mmol ~0.000. 0.500

Use Henderson-Hasselbalch eqn.

base] divided by [acid] =(0.500mmoldivided by 30.00mmol )divided by (2.00 mmol divided by 30.00 mL)
=0.500 divided by 2.00
=0.250

pH = 4.745 + log(0.250) = 4.143

Volume of Titrant. pH

  1. 00 mL. 2.872
  2. 00mL. 4.143
Region (3): At the equivalence point
Treat as neutralization, then a weak base problem
   0.100 M x 25.00 mL = 2.500 mmol NaOH 
0.100 M x 25.00 mL = 2.500 mmol HAc
 HAc(aq) + OH-(aq) !→ H2O(l) + Ac-(aq)

before 2.500mmol 2.500 0.0
change -2.500. -2.500. +2.500
after 0.000 mmol ~0.000. 2.500

[Ac−] = 2.500mmol divided by (25.00 +25.00)mL
= 0.0500M

Ac (aq) + H2O(l) ←!! HAc(aq) + OH (aq)
I. 0.0500M. 0. 0
C. -x. +x. +x
E. 0.0500 -x. x. x

Kb=Kw divided by Ka= [HAc][OH-] dividdd by [AC]
= 1x10 to the power -14 divided by 1.8 x 10 to the power -5
= xx divided by 0.0500-x
= 5.55 x 10 to the power -10

x= [OH]= 5.27 x 10-6
pOH = - log(5.27 x 10-6)
= 5.278
pH = 14 - 5.278 = 8.721

Volume of Titrant. pH

  1. 00 mL. 2.872
  2. 00mL. 4.143
    1. 4.569
    1. 4.921
  3. 00 5.347
  4. 00 6.125
  5. 90 7.317
    1. 8.721

Region (4): After the equivalence point
Treat as limiting reagent problem (strong base pH)
@ 25.10 mL 0.100 M NaOH added
HAc(aq) + OH-(aq) !→ H2O(l) + Ac-(aq)

before 2.500mmol 2.510 0.0
change -2.500. -2.500. +2.500
after 0.000 mmol 0.010. 2.500

OH- dominates over the weak base Ac-

[OH−] = 0.0100mmol divided by (25.00 + 25.10)mL

= 1.996x10-4M

pOH = - log (1.996 x 10-4)
= 3.700
pH = 14 - 3.700 = 10.300

Volume of Titrant.     pH
25.00.                       8.721
25.10.                          10.300
26.00.                          11.292
 30.00.                           11.959
 35.00.                         12.222
 40.00                         12.363
45.00.                       12.456
 50.00.                       12.522
∞.                                13.000

Same as HCl vs. NaOH titration

59
Q

How is pH=pKa at half the equivalence point
What are diprotic acids
State three types of acid base titrations

A

pH = pKa at half the equivalence point

Use the Henderson-Hasselbalch eqn.
pH = pK + log10[base] divided by [acid] !”
At half the equivalence point volume, half the HOAc has reacted to form OAc-, and half remains unreacted.
⇒ [HOAc] = [OAc-]
⇒ log10([base]/[acid]) = log(1) = 0
⇒ pH=pKa

Titration of a diprotic acid with a strong base.
Equivalence point for each dissociation.

Titration of Bases (Weak/Strong) with a Strong Acid
Adding strong acid (HCl) to base
– Blue-ammonia (weak base)
– Red- NaOH (strong base)

Many Types of Acid/Base Titrations
 Acid: weak or strong
Acid: monoprotic, diprotic
Base: weak or strong 
Base: monobasic, dibasic,
Analyte:acid or base
60
Q

What is an acid base indicator
How do you choose an indicator
When does a titrations endpoint occur?
When is the red color and blue colour observed?

Titrant = 0.10 M NaOH (strong base) Analyte = 0.10 M HAc (weak acid)
Which indicator would be best?
Congo Red, pKa = 4.0 or
Phenolphthalein, pKa = 9.1

A

acid-base indicator = a weak acid or weak base whose color differs in acidic and basic solutions

Why?
HIn(aq) (colour A)+ H2O(l) !!→ H3O+(aq) + In-(aq)(colour B)

Apply Le Châtelier’s Principle:
• add acid ⇒ increase H3O+ ⇒ shift to left ⇒ color A
• add base ⇒ increase OH- ⇒
decrease H3O+ ⇒ shift to right ⇒ color B

[HIn] divided by [In−] ≥ ≈10
⇒ the HIn color is observed

[In−] divided by [HIn] ≥ ≈10
the In- color is observed

Applying Henderson-Hasselbalch:
IfpH ≤ pKa–1 ⇒ the HIn (red)color is observed
IfpH ≥ pKa+1 ⇒ the In-(blue) color is observed
The pKa is around a pH of 9 btw

A titration’s endpoint occurs when the indicator changes color.

Solution:
Color change/pH range
CongoRed: pKa ± 1 = 3.0-5.0 Phenolphthalein: pKa ± 1 = 8.1 - 10.1

Choice of Indicators
Types of titration Indicators
Strong acid-strong base Phenolphthalein is usually preferred because of its more easily seen colour change.
Weak acid-strong base Phenolphthalein is used and changes sharply at the equivalence point and would be a good choic

Strong acid-weak base Methyl orange will change sharply at the equivalence point.

Weak acid-weak base
Neither phenolphthalein, nor methyl orange is suitable. No indicator is suitable because it requires a vertical portion of the curve over two pH units

61
Q

A 1.2gm sample of a mixture of (Na2CO3 + NaHCO3) is dissolved and titrated with 0.5N HCl. With phenolphthalein, the endpoint is at 15ml while after further addition of methyl orange a second endpoint is at 22ml. Calculate the percentage composition of the mixture.
What is solubility?
What is molar solubility?

A

Solution:
15 + 15 = 30ml acid is necessary to neutralize Na2CO3 completely.

Total volume needed = 15 + 22 = 37ml

(37-30) = 7ml acid is needed for neutralizing NaHCO3

Therefore, Na2CO3 composition (%) is

= [(30 x 0.5 x 0.053)/1.2] x 100 = 66.25%

= (7 x 0.5 x 0.042 x 100) / 1.2 = 24.50% NaHCO3

Solubility Equilibria
So-called “insoluble salts” are often slightly soluble.
PbF2(s) ⬅️→ Pb2+(aq) + 2F-(aq)

pure solid - omitted from equilibrium expression

Ksp = [Pb2+][F-]2 = 4.1 x 10-8
Ksp = solubility product

solubility = grams of solute dissolved in one liter of saturated solution
molar solubility = moles of solute dissolved in one liter of saturated solution

62
Q

What is a saturated solution
Unsaturated solution
Supersaturated solution

What is the solubility (g/L) of PbF2 at 25oC if the Ksp = 4.1 x 10-8 ?

A

Definitions
Ch. 15: Q = [C]c[D]d divided by [A]a[B]b
• Saturated solution ⇒ the maximum solute concentration at equilibrium
Q(reaction quotient) = Ksp
• Unsaturated solution ⇒ less than the maximum
solute concentration at equilibrium Q < Ksp
• Supersaturated solution ⇒ greater than the maximum equilibrium
solute concentration Q > Ksp

PbF2 (s) !!→ Pb2+(aq) + 2F-(aq)

I excess. 0.0. 0.0
C -x +x. +2x
E excess x 2x

Ksp = [Pbsuperscript2+]l[F-]superscript2
= 4.1 x 10-8
= (x)(2x)superscript2 = 4xsuperscript3
= 4.1 x 10-8

x = molar solubility =
Cube root of (4.1 x 10-8 divided by 4)
= 2.172×10 mol/L

Solubility = 2.172×10-3 mol/L x 245.2 (molar mass of PbF2) g/mol
= 0.53g/L

63
Q

What is the relationship between solubility and solubility product (Ksp)?

The solubility product constant, Ksp​, is the equilibrium constant for a solid substance dissolving in an aqueous solution. True or false
State the diff between solubility and solubility product

A

Solubility and solubility product, Ksp, are not the same thing!
• Molar solubility: [ion] or S
• Consider the Ksp values of the silver salts below.
Which of the salts will have the highest solubility?
a) AgCl (Ksp = 1.8 × 10-10)
b) Ag2CrO4 (Ksp = 1.1 × 10-12)
c) AgBr (Ksp = 5.4 × 10-13)
d) Ag2SO3 (Ksp = 1.5 × 10-14)

The solubility product constant (Ksp) describes the equilibrium between a solid and its constituent ions in a solution. The value of the constant identifies the degree to which the compound can dissociate in water. The higher the Ksp, the more soluble the compound is

The key difference between molar solubility and product solubility constant is that the molar solubility describes the dissolution of a substance per litre of a solution, whereas the product solubility constant describes the dissolution of a solid substance in an aqueous solution.

We can calculate this amount using the product solubility constant or Ksp and the stoichiometry. The unit for the molar solubility is mol/L. We can denote this term as “M”. We can calculate the molar solubility using Ksp, but we have to know the ions produced by the dissociation during the dissolution of the substance in the solution.

Let us consider an example; if AB is dissolved in an aqueous solution, it dissociates into A and B ionic products. The equation for this dissolution is as follows:

AB(s) ⇌ A(aq) + B(aq)

According to the stoichiometry of this reaction, if the final concentration of A is “x”, then the final concentration of B is also “x”. Then, the solubility product equation for this reaction is;

Ksp = [A][B]

   = [x][x]

= x2

Here, x is the molar solubility. Therefore, if we know the Ksp of the reaction, we can calculate the x, molar solubility of the reaction.

Ksp= [ionic product 1][ionic product 2]…
M=Ksp /[ionic product 1][ionic product 2]…

64
Q

State the factors that affect solubility and explain two

What is the solubility of PbF2 in 0.10 M NaF at 25oC? (Ksp = 4.1 x 10-8 )

How does decreasing the pH affect the solubility of Cu(OH)2 salt ?

For BaF2, Ksp = 1.7x10–6. If KF is added to a saturated solution so that [F1–] = 0.10 M, what is [Ba2+]?

A

Solubility of a substance is effected by temperature as well as by the presence of other solutes:

  1. Common ion effect
  2. pH
  3. Presence of complexing agents
  4. Amphoterism
  5. Common Ion Effect
    • Ifoneoftheionsinasolutionequilibriumisalready dissolved in the solution, the equilibrium will shift to the left and the solubility of the salt will decrease.
    Adding a common ion to a dissociation reaction causes the equilibrium to shift left, toward the reactants, causing precipitation

PbF (s) !!→ Pb2+(aq) + 2F-(aq) 2 ←!!
• Increasing the concentration of F- will decrease the solubility of PbF2.

solubility of PbF2= 0.53g/L

PbF2 (s) ⬅️→ Pb2+(aq) + 2F-(aq)
I excess 0.0. 0.10 M
C -x. +x. +2x
E excess. x 0.10. + 2x

Ksp = [Pb2+][F-]2 = 4.1 x 10-8
= (x)(0.10 + 2x)to the power 2 ≈
 (x)(0.10)to the power2 ≈ 4.1 x 10-8
x = (4.1 x 10-8)/(0.10)to the power 2
 = 4.1 x 10-6 M
solubility = 4.1 x 10-6 mol/L x 245.2 g/mol 
= 1.0 x 10-3 g/L
Cu(OH)2 (s) ⬅️→ Cu2+(aq) + 2OH-(aq) 
decreasing pH :
⇒ decreases [OH-] (Q < Ksp)
 ⇒ shifts rxn to the right
⇒ more Cu(OH)2 dissolves to reach equilibrium
⇒ Cu(OH)2 is more soluble

Q = [Cu2+][OH-]to the power 2

If a substance has a basic anion, it will be more soluble in an acidic solution.
If a substance has an acidic cation, it will be more soluble in basic solution.

(b) PbF2 (s) ←→ Pb2+(aq) + 2F-(aq) (equation1)
increasing pH ⇒ increases [OH-]
So what? OH- is not a common ion. But, F- undergoes hydrolysis.

F-(aq) + H2O(l) ←→ OH−(aq) + HF(aq) (equation2)
⇒ shifts Eq #2 to the left 
⇒ increases [F-]
⇒ shifts Eq #1 to the left 
⇒ PbF2 less soluble

x(0.1)2=1.7x10-6 x=1.7x10-4 M=[Ba2+]

65
Q

What is a complex ion

Calculate the molar solubility of AgI in a 1.0 M NH3 solution. The Ksp of AgI and the Kf of Ag(NH3)2+ are known from the table.

A

complex ion = a species containing a central metal ion (Lewis acid) bonded to one or more molecules or ions (Lewis base).
• Formation of complex ions can increase the solubility of salts
Examples: Au(CN)subscript2- Ca(EDTA)superscript2- CdBr4superscipt2-

Cu2+(aq) + 4NH3 (aq) ⬅️→ Cu(NH3 )subscript 4 superscript2+(aq)

Kf= [ C u ( N H 3 )4 superscript 2+ ] divided by [Cu2+][NH3]superscript4
= 5.0×10 to the power 13
Kf= formation constant

AgCl(s) + 2 NH3 (aq) ←”” Ag(NH3)2+ (aq) + Cl- (aq)

Solution: Two equilibria must be considered.
AgI(s) ← → Ag (aq) + I (aq)

Ksp = [Ag+][I-] = 8.3 x 10-17 (table value)

Ag+(aq) + 2NH3(aq) !!→ Ag(NH3)2+(aq)

Kf= = [Ag(NH3)+2] divided by [Ag+ ][NH3 ]2+
= 1.7×107

Addition yields,
AgI(s) + 2NH3(aq) ←!! Ag(NH3)2+(aq) + I (aq)

I excess 1.0 M 0. 0
C -x -2x +x. +x
E excess 1.0 - 2x x x

K= [Ag(NH3 )2+][I-] divided by [NH3] squared 
=KspKf
= 1.411×10 to the power -9
=(x)(x) divided by (1.0-2x) squared 
=xsquared divided by 1.0
= 1.411×10 to the power -9

x= square root of 1.411×10 to the power -9
=3.7 x 10 to the power -5

⇒ molar solubility of AgI is 3.7x10-5mol/L
( in water it is only 9.1 x 10-9 mol/L )

66
Q

What is amphoteric
Give examples of amphoteric metal oxides
When Al(OH)3 dissolved in strongly acidic solutions due to an acid base reaction what’s the equation?

When Al(OH)3 dissolved in strongly basic solutions due to a complex ion formation what’s the equation?

A

amphoteric = referring to a substance that will react with both acids and bases. (“am” as in ambidextrous, ambivalent or amphibian)
– Amphoteric metal oxides and hydroxides are soluble in strong acid or base, because they can act either as acids or bases.
– Examples of such cations are Al3+, Cr 3+, Zn2+, and Sn2+.

Acid:

Al3+ (aq) + 3H2O ➡️⬅️ 3H+(aq) + Al(OH)3(aq)

Basic:

Al(OH)3(s) + OH(aq) ➡️⬅️ Al(OH)4-(aq)

67
Q

What is qualitative and quantitative analysis

What is the Relationship between Q and Ksp

A

Precipitation and Separation of Ions
Qualitative Analysis ⇒ goal: determine what is in a sample
Quantitative Analysis ⇒ goal: determine how much is in a sample

  • Years ago qualitative analysis employed mainly “wet chemistry” methods.
  • An analysis consisted of separation and confirmation.
  • Most separations were based on solubility differences.
  • These methods have mostly been replaced by instrumental methods.

Relationship between Q and Ksp
• If Q > Ksp, precipitation occurs, reducing ion concentrations until Q = Ksp
• If Q = Ksp, equilibrium exists, saturated solution
• If Q < Ksp, solid dissolves, increasing ion concentrations until Q = Ksp
where Q = reaction quotient.

68
Q
Solve 
Buffer pH
For HCN, Ka is 4.9x10–10.
What is the pH of a buffer solution in which [HCN] = 0.100 M = [KCN] ?
a.  4.7 b.  7.0 c.  9.3 d.  14.0

Which titration curve show strong acid added to strong base and
strong base added to diprotic acid?
a. ii and i b. iv and iii c. ii and iv d. i and iv
Check the picture in the slide to solve the question

Practice Problem 3: Ion Concentration
For BaF2, Ksp = 1.7x10–6.
What is [Ba2+] in a saturated aqueous solution of BaF2?
a.  1.7x10–6 M 
b.  3.4x10–6 M 
c.  7.6x10–3 M 
d.  1.5x10–2 M

Practice Problem 4: Ion concentration
For BaF2, Ksp = 1.7x10–6. What is [F–] in a saturated aqueous solution of BaF2?
a. 0.0035 b. 0.020 c. 0.0075 d. 0.015

Practice Problem 5: Solubility of Cu(OH)2
Which of the following actions will increase the molar solubility of Cu(OH)2 in a saturated solution?
(I) A small amount of crystalline Cu(NO3)2 is added. (II) The solution is buffered at pH = 2.
(III) Ammonia gas, NH3, is bubbled through the solution.
a. I
b. II
c. III
d. II and III

A