Chem I: 7-10 Flashcards
titration
use
used to determine the concentration of known reactant in a solution
how are titration performed?
adding small volumes of known concentration (titrant) to a known volume of a solution of unknown concentration (titrand) until completion of the reaction is achieved at the equivalence point
acid base titrations
equivalence point
- reached when the number of acid equivalents present in the original solution equals the number of base equivalents, or vice versa
- steepest point of titration curve
titrant
solution of known concentration that is added
titrand
solution of known volume but unknown concentration
equation that allows us to calculate unknown concentration of titrand
NaVa = NbVb
N = normalities
V = volume (as long as volumes use same units, do not have to be liters)
two ways the equivalence point in acid-base titration is calculated:
- graphical methods: plotting pH of unknown solution as a function of added titrant by using pH meter
- midpoint of the region of the curve with steepest slope
- estimated by watching for a color change of an added indicator
indicator
weak organic acids or bases that have different colors in pronated and deprotonated states (conjugate acid and conjugate base forms) –> the binding or release of a proton leads to change in absorption spectrum of molecule
bc of le chatelier’s principle
titration
indicator must always…
be weaker acid or base than the acid or base being titrated
other wise the indicator would be titrated first
endpoint
point at which the indicator changes to its final color
accuracy of weak acid/weak base titration
not accurate
- titration lacks the sharp change that normally indicates equivalence point
- indicators are less useful because the pH change is far more gradual
steps for questions involving the selection of an ideal indicator
- determine where equivalence point is
- select the indicator that has the closest pKa value to it
if strong acid + weak base, equivalence point…
equivalence point pH < 7
if strong acid + strong base, equivalence point…
pH = 7
if weak acid + strong base, equivalence point…
pH > 7
strong acid and strong base titration
- early part of curve: little base added -> acidic species predominates
- addtn of small amounts of base will not appreciably change the OH- or pH
- equivalence point
- adding base will elicit the most substantial changes in pH
- last part of curve: excess base added -> small amounts of base will not change OH- or pH significantly
weak acid and strong base
titration
- inital pH in acidic range
- pH changes gradually early on intitration
- has a less sudden rise at equivalence point
- equiv point pH > 7
- basic range
- reaction produces weak conjugate base (A-) and weaker conjugate acid (H2O)
- produces greater conc of OH- than H+ at equilibrium (due to common ion effect on autoionization of water)
strong acid and weak base
titration
- inital pH in basic range
- graduate drop in pH with addition of strong acid
- equiv point pH < 7
- acidic range
- will produce a weak conjugate acid and weaker conjugate base
- higher concentration of H+ ions
weak acid and weak base
titration
- inital pH generally in 3-11 range
- very shallow drop at equiv point
- equiv point will very near neutral pH because the reaction is partially dissociative for both species
titrations
the stronger the acid or base….
the more it pulls the equivalence point into its pH territory
to identify which type of titration is being shown in a graph, identify starting position
pH >> 7
titrand is strong base
polyvalent titration
- multiple equivalence points
- first buffer region: flat part of curve
- half equivalence pt: center of buffer region (pt between region I and II)
to identify which type of titration is being shown in a graph, identify starting position
pH > 7
titrand is weak base
to identify which type of titration is being shown in a graph, identify starting position
pH < 7
titrand is weak acid
to identify which type of titration is being shown in a graph, identify starting position
pH << 7
titrand is strong acid
half equivalence point
occurs when half a given species has been protonated or deprotonated
when pH = pKa, pOH = pKb
buffering capacity is optimal
titrations of acidic and basic amino acids
- similar to polyvlaent titration
- 3 equivalence points
- one corresponding to titration of carboxyl group, amino group, acidic or basic side chain
pKa =
pKb =
pKa = -log [Ka]
pKb = -log [Kb]
Ka =
Ka = ( [H+][A-] ) / [HA]
Kb =
Kb = ( [HA][OH-] ) / [A-]
weak acid/base
steps
get rid of x and approximate
ICEbox - LR
KaKb = [?]
KaKb = [H3O+][OH-]
pH =
pOH =
pH = -log[H+]
pOH = -log[OH-]
autoionization of water
H2O = H+(aq) + OH-(aq)
pKw =
pKw = pH + pOH = 14
pH = pKa when
midpoint of titration of weak acid and strong base
[HA] = [A-]
equal amounts of conjugate acid and base
pH = pKa when
midpoint of titration of weak acid and strong base
[HA] = [A-]
equal amounts of conjugate acid and base
buffer
weak acid and weak conjugate base (salt), or weak base and its salt
suppresses the change in pH when small amounts of acid or base are added
Henderson Hasselbach eq
buffer problem
- Ka for conjugate acid base pair: 10-4 to 10-11 M
- ratio base/acid: 0.1-10
- values of [base] and [acid]: 10-3 to 1 M
clues identifying reaction type, steps to solve for pH
strong acid and strong base
clues identifying reaction type, steps to solve for pH
weak acid alone
clues identifying reaction type, steps to solve for pH
weak base alone
clues identifying reaction type, steps to solve for pH
weak acid and strong base
equal moles of both
clues identifying reaction type, steps to solve for pH
weak acid and strong base
more moles of weak acid than strong base
clues identifying reaction type, steps to solve for pH
weak base and strong acid
equal moles for both
clues identifying reaction type, steps to solve for pH
weak base and strong acid
more moles of weak base
clues identifying reaction type, steps to solve for pH
buffer
clues identifying reaction type, steps to solve for pH
perturbed buffer
rules
strong acids and strong bases
calculating effect on pH
- dissociate completely.
- calculating effect on pH: determine [H+] or [OH-] by determining moles of acid or base per L and recalling that every strong acid and strong base will completely dissociate
- concentration of acid or base is equal to H+ or OH-
rules
weak acids and weak bases
- dissociate or associate only partially
- degree to which they dissociate (for acids) or associate (for bases) is determined by the equilibrium constant for their characteristic acid or base reaction (Ka or Kb)
- pKa = -log Ka and pKb = -log Kb
- pKa is also equal to the pH at which an acid is half protonated and half deprotonated
neutralization
final pH w strong acid and strong base added together
- strong acids and strong bases when put together in solution strive to neutralize each other
- ex: H+ + OH- –> H2O K = 1 x 1014
- To determine the final pH when a strong acid and strong base are added together, one must figure out if either H+ or OH- is limiting and then determine how much OH- or H+ is left over after the neutralization has occurred and calculate the pH from that.
to calculate pH of buffer
use the Henderson-Hasselbach equation
(works only when conjugate acid and conjugate base are present)
Within how many pH units of a buffer’s pKa is the buffering capacity said to be maintained?
(A) 1 unit
(B) 2.5 units
(C) 0.5 units
(D) This depends on the buffer
A) 1 unit
Within 1 pH unit of its pKa, a buffer is said to maintain its buffering capacity (have an ability to resist changes in pH).
How do the titration curves of a strong acid and strong base compare to a weak acid and a strong base? Consider buffering capacity, the shapes of the curves, and the equivalence points.
For strong acid, notice the little change in pH until right before the equivalence point, then a sharp increase.
For the weak acid, notice the gradual change in pH as base is added, showing buffering capacity. The middle of that buffering capacity is where pH=pKa. Near its equivalence point, it will also sharply increase.
The equivalence points are halfway between the pH before and after the steep increase.
a) the end point and equivalence will both occur later than expected
b) the end point will now occur significantly before the equivalence point is reached
c) the end point will now occur significantly after the equivalence point
d) the end point and equivalence point will both occur sooner than expected
c) the end point will now occur significantly after the equivalence point
a) this is a suitable indicator, and it will change color after the equivalence point is reached
b) the solution will not change color until well after the equivalence point is reached
c) when the first drop of titrant is added, the solution will change color
d) the indicator will react with the analyte immediately, changing color without the titrant being added
d) the indicator will react with the analyte immediately, changing color without the titrant being added
a) 2:1, because after the conjugate base reacts with the weak acid, the dynamic range of buffering is equally split between preventing changes caused by acids and bases
b) 1:1, because the dynamic range of buffering is equally split between preventing changes caused by acids and bases
c) 2:1, because the dynamic range is larger and covers the widest range of pH’s
d) 1:1, because the dynamic range is larger and covers the widest range of pH’s
b) 1:1, because the dynamic range of buffering is equally split between preventing changes caused by acids and bases
a) tripling the amount of both acid and base added to the solution
b) adding salts to supplement the buffering effects
c) adding more base to increase the dynamic range of the solution
d) removing salts to enhance the buffering effects
a) tripling the amount of both acid and base added to the solution
a) there will be no reaction, and the titrant must be replaced with the solution labeled “analyte”
b) the solution’s pH will change, and the titrant must be replaced with the solution labeled “analyte”
c) there will be no reaction, and the titrand must be replaced with the solution labeled “analyte”
d) the solution’s pH will change, and the titrand must be replaced with the solution labeled “analyte”
c) there will be no reaction, and the titrand must be replaced with the solution labeled “analyte”
a) 50.3 mL HCl, 49.7 NaOH
b) 39.5 mL HCl, 60.5 mL NaOH
c) 10 mL HCl, 90 mL NaOH
d) 57.4 mL HCl, 43.6 mL NaOH
a) 50.3 mL HCl, 49.7 NaOH
a) 133 mL
b) 100 mL
c) 50 mL
d) 67 mL
d) 67 mL
True or false? At the equivalence point, there is no buffering capacity because the titrand (what the titrant is being added to) has fully reacted with the titrant.
True. At the equivalence point, there is no buffering capacity because the titrand (what the titrant is being added to) has fully reacted with the titrant.
Which of the following is a typical range from which the indicator will have a color change?
(A) pKa ± 10
(B) pKa ± 0.1
(C) pKa ± 3
(D) pKa ± 1
(D) pKa + or - 1
Generally, an indicator (like phenolphthalein) will have its color change within 1 pH unit of its pKa. This can vary based on the indicator though!
You have a solution of 453 mL of HCl. If it takes 46.3 mL of .287 M NaOH to reach the end point of our titration of the HCl solution, what is the concentration of HCl in the original solution?
(A) .00342 M
(B) .00752 M
(C) .0132 M
(D) .0294 M
(D) .0294 M
46.3 mL NaOH ⋅ 1 L / 1000 mL ⋅ .287 moles NaOH / 1 L NaOH ⋅ 1 mole HCl / 1 mole NaOH = approx. .015 moles HCl (actual: .0133)
NOTE: You can use the M1V1 = M2V2 equation here, but I prefer to simply use dimensional analysis.
.015 moles HCl / .453 L HCl = approx. .03 M (actual: .0294 M)
You have a solution of 78.3 mL of HCl. If it takes 56.2 mL of .143 M Ba(OH)2 to reach the end point of our titration of the HCl solution, what is the concentration of HCl in the original solution?
(A) .0205 M
(B) .205 M
(C) 2.05 M
(D) 20.5 M
(B) .205 M
56.2 mL Ba(OH)2 ⋅ 1 L / 1000 mL ⋅ .143 moles Ba(OH)2 / 1 L Ba(OH)2 ⋅ 2 moles OH- / 1 mole Ba(OH)2 ⋅ 1 mole HCl / 1 mole OH- = approx. .015 moles HCl (actual: .01607)
.015 moles HCl / .0783 L HCl = approx. .2 M (actual: .205 M)
acid base nomenclature
acid s formed from anions with names that end in -ide
hydro- and -ic
At which of the following points is the pH equal to the pKa of the titrand?
(A) Equivalence point
(B) Endpoint
(C) Half-equivalence point
(D) Half-endpoint
(C) Half-equivalence point
Recall the Henderson-Hasselbalch equation and the nature of logarithms, especially that log(1)=0.
What is the pH of a 4.3 ⋅ 10^-4 M solution of 456.2 mL HCl after having added 23.4 mL of 5.6 ⋅ 10^-5 M NaOH?
(A) .67
(B) 1.43
(C) 2.32
(D) 3.39
(D) 3.39
- 4 mL NaOH ⋅ 1 L NaOH / 1000 mL NaOH ⋅ 5.6 ⋅ 10^-5 mol NaOH / 1 L NaOH = Approx. 10 ⋅ 10^-7 mol NaOH (actual: 13.1 ⋅ 10^-7)
- 2 mL HCl ⋅ 1 L HCl / 1000 mL HCl ⋅ 4.3 ⋅ 10^-4 moles HCl / 1 L HCl = Approx. 2000 ⋅ 10^-7 moles HCl (actual: 1961.66 ⋅ 10^-7)
2000 ⋅ 10^-7 moles HCl - 10 ⋅ 10^-7 mol NaOH = Approx. 1990 ⋅ 10^-7 mol HCl (actual: 1948 ⋅ 10^-7)
1990 ⋅ 10^-7 mol HCl / .4796 L = approx. 4000 ⋅ 10^-7 M (actual: 4062 ⋅ 10^-7)
pH = -log([H+]) pH = -log(4 ⋅ 10^-4) pH = 3.5 (actual: 3.39)
acid base nomenclature
acids formed from oxyanions ending in -ite
(less oxygen)
-ous acid
acid base nomenclature
acids formed from oxyanions ending in -ate
(more oxygen)
-ic acid
units avagadro’s number
atoms/mol
arrhenius acid
dissociates to form excess of H+ in solution
contain H at beginning of formula
arrhenius base
dissociates to form excess of OH- in solution
contain OH at end of formula
bronsted lowry acid
donates H+ ions
bronsted lowry base
accepts H+ ions
calculate pH of 1 x 10-8 M solution of HCl
what is the pH of a solution with [HClO4] = 10 M?
advantage of bronsted lowry def of acid/base over arrhenius
not limited to solutions
every arrhenius acid/base can be classified as __A__ acid/base. every ___A___ acid/base can also be classified as ___B___.
does it work other way around?
bronsted lowry
lewis acid/base
not always
lewis acid
electon pair accpetor
lewis base
electron pair donor
which acid base def is most inclusive
Lewis
every Arrhenius acid is also a Bronsted-Lowry acid, and every Bronsted Lowry acid is also a Lewis acid (and likewise for bases).
amphoteric
species that reacts like an acid in a basic environment an like a base in acidic environment
amphiprotic
amphoteric species can either gain or lose a proton
things considered amphoteric and amphiprotic
water, amino acids, and partially deprotonated polyprotic acids (such as bicarbonate and bisuflate)
things considered amphoteric
why not amphiprotic
- metal oxides and hydroxides
- bc do not give off protons
- partially dissociated conjugate base of polyvalent acid
- species that can act as both oxidizing and reducing agents
- amino acids that have zwitterion intermediates with both cationic and anion character