Exam 4 Flashcards
why study gases?
1) To gain an understanding of real-world phenomena
2) To gain an understanding of how science “works”
gas
- Uniformly fills any container
- Mixes completely with any other gas
- Exerts pressure on its surroundings
- has small forces between them
barometer
- Device used to measure atmospheric pressure
- Mercury flows out of the tube until the pressure of the column of mercury standing on the surface of the mercury in the dish is equal to the pressure of the air on the rest of the surface of the mercury in the dish
- mm Hg
units of pressure
- Unit millimeters of mercury (mm Hg) is often called the torr
a) The units “torr” and “mm Hg” are used interchangeably - Standard atmosphere (atm): A related unit for pressure
- Pascal: SI unit for pressure (Pa)
- PRESSURE = FORCE / AREA
- SI units = Newton/meter2= 1 Pascal (Pa)
- 1 standard atmosphere = 101,325 Pa
- 1 standard atmosphere = 1 atm= 760 mm Hg = 760 torr
Unit millimeters of mercury (mm Hg) is often called the
torr
what 2 units can be used interchangeably?
torr and mm Hg
Standard atmosphere (atm)
A related unit for pressure
formula for pressure
P = force/area
1 atm = __ mm Hg
760
1 atm = __ torr
760
1 atm = __ Pa
101,325
The pressure of the air in a tire is measured to be 28 psi. Represent this pressure in both torr and pascals.
- 9 atm x 760 torr / 1 atm = 1.4 x 10^3 torr
1. 9 atm x 101325 Pa/ atm = 1.9 x 10^5 Pa
The vapor pressure over a beaker of hot water is measured as 656 torr. What is this pressure in atmospheres?
656 torr x 1 atm / 760 torr = 0.863 atm
Robert Boyle’s Experiment
Study of the relationship between the pressure of the trapped gas and its volume
- when u increase P, you decrease V
- ex: pillow
Boyle’s Law Graph
L shaped curve
- pressure and volume
- inversely proportional
Boyle’s Law
- P1V1 = P2V2
- Pressure and volume are inversely related or inversely proportional
- PV = k
- k is a constant for a given amnt of gas at a specific temp
- V= k/p
- T and moles are constant
A sample of helium gas occupies 12.4 L at 23 °C and 0.956 atm. What volume will it occupy at 1.20 atm assuming that the temperature stays constant?
9.88 L
Graphing Data for Several Gases
- It is easier to write an equation for the relationship between volume and temperature if the lines are extrapolated to the origin of the graph
- Use absolute zero for the temperature
- Absolute zero
absolute zero
temperature of −273 °C beyond which matter cannot be cooled
Charles’s Law Graph
V on y axis and T on x axis
- direct relationship
- straight up
Charles’s Law
- V1/T1 = V2/T2
- Direct proportionality between volume and temperature(in Kelvin) represented by the equation known as Charles’s law
- V = bT (b is a proportionality constant)
- K = °C + 273
- 0 K is called absolute zero
- constant pressure and moles
__ K is called absolute zero
0
Suppose a balloon containing 1.30 L of air at 24.7 °C is placed into a beaker containing liquid nitrogen at –78.5 °C. What will the volume of the sample of air become (at constant pressure)?
0.849 L
Avogadro’s Law
- n1/V1 = n2/V2
- Volume and numbers of moles are directly related (constant T and P)
- V = an (a is a proportionality constant)
- constant temp and pressure
Avogadro’s Law Graph
- direct relationship
- straight up
- volume on y axis and moles on x axis
If 2.45 mol of argon gas occupies a volume of 89.0 L, what volume will 2.10 mol of argon occupy under the same conditions of temperature and pressure?
76.3 L
Ideal Gas Law
- PV = nRT
- R = 0.08206 L atm / mol K
- We can bring all the laws together under one comprehensive law:
a) charles’s law: V =bT (constant P and n)
b) Avogadro’s law: V =an (constant Tand P)
c) Boyle’s law: V= k / P (constant T and n)
what is the universal gas constant?
0.08206 L atm / mol K
An automobile tire at 23 °C with an internal volume of 25.0 L is filled with air to a total pressure of 3.18 atm. Determine the number of moles of air in the tire.
3.27 mol
What is the pressure in a 304.0-L tank that contains 5.670 kg of helium at 25 °C?
114 atm
At what temperature (in °C) does 121 mL of CO2 at 27 °C and 1.05 atm occupy a volume of 293 mL at a pressure of 1.40 atm?
696 °C
Dalton’s Law of Partial Pressures
- For a mixture of gases in a container
a) P total = P1 + P2 + P3 + . . . - the total pressure exerted is the sum of the pressures that each gas would exert if it were alone
- The pressure of the gas is affected by the number of moles of particles present
- The pressure is independent of the nature of the particles
Two Crucial Things to be learned from the Dalton’s Law
1) The volume of the individual particles must not be very important
2) The forces among the particles must not be very important
Collecting a Gas over Water
Total pressure is the pressure of the gas plus the vapor pressure of the water
- However, we need to determine the pressure of the gas and not the mixture collected
- to JUST get the gas, SUBTRACT the water vapor
Consider the following apparatus containing helium in both sides at 45 °C. Initially, the valve is closed.
- After the valve is opened, what is the pressure of the helium gas?
2.25 atm
- 4 L of oxygen gas at 25.0 °C and 1.30 atm and 8.50 L of helium gas at 25.0 °C and 2.00 atm were pumped into a tank with a volume of 5.81 L at 25 °C.
- Calculate the new partial pressure of oxygen
- Calculate the new partial pressure of helium
- Calculate the new total pressure of both gases
new partial pressure of oxygen = 6.13 atm
new partial pressure of helium = 2.93 atm
new total pressure of both gases = 9.06 atm
Scientific Method
- A law is a generalization of observed behavior
- Laws are useful as they help us predict behavior of similar systems
- A model can never be proved absolutely true
- A model is an approximation and is destined to be modified
The Kinetic Molecular Theory of Gases: Basic Postulates of the Kinetic Molecular Theory
in science, “what” always comes before why
implications of the Kinetic Molecular Theory: Meaning of temperature
Kelvin temperature of a gas is directly proportional to the average kinetic energy of the gas particles
implications of the Kinetic Molecular Theory: Relationship between pressure and temperature
Gas pressure increases as the temperature increases because the gas particles move faster and undergo collision more often
implications of the Kinetic Molecular Theory: Relationship between volume and temperature
Volume of a gas increases with temperature because the gas particles speed up
You are holding two balloons of the same volume. One contains helium, and the other contains hydrogen. The pressures of the gas in the two balloons are ___
the same
You are holding two balloons of the same volume. One contains helium, and the other contains hydrogen. The temperatures of the gas in the two balloons are ___
the same
You are holding two balloons of the same volume. One contains helium, and the other contains hydrogen. The numbers of moles of the gas in the two balloons are ___
the same
You are holding two balloons of the same volume. One contains helium, and the other contains hydrogen. The densities of the gas in the two balloons are ___
different
V Ne = 2V Ar
what is the mass ratio of Ne:Ar in the balloons?
1:1
The gas sample is then cooled to a temperature of 15 °C. Solve for the new condition. (Hint: Consider that a moveable piston keeps the pressure constant overall.)
5.43 L
Molar Volume of an Ideal Gas
- For 1 mole of an ideal gas at 0 °C and 1 atm, the volume of the gas is 22.42 L
- STP
standard temperature and pressure (STP)
- 0 °C and 1 atm
- any gas with 0 °C and 1 atm will have a volume of 22.4 L at STP
A sample of oxygen gas has a volume of 2.50 L at STP. How many grams of O2 are present?
3.57 g
Consider the following reaction:
Zn(s) + 2HCl(aq ) -> ZnCl(aq) + H(g)
If 15.00 g of solid zinc reacts with 100.0 mL of 4.00 M hydrochloric acid, what volume of hydrogen gas will be produced at 25 °C and 1.00 atm?
4.89 L
review of liquids and solids
- Gases have low density, are highly compressible, and can fill a container
- solids have high density, are slightly compressible, and are rigid
- Some properties of liquids lie between those of solids and of gases
heating/cooling curve
- normal boiling pt at 1 atm is 100°C
- normal freezing pt at 1 atm is 0 °C
- density
a) liquid water = 1.00g /mL
b) ice = 0.917 g/mL - liquid to gas is MORE energy than solid to liquid because it is more disordered
During the process of melting ice by adding heat, what would happen to the temperature of the ice?
it stays constant
Physical changes
- No chemical bonds are broken
- When water is boiled to form steam, water molecules are separated from each other, but the individual molecules remain intact
phase changes
- When a substance undergoes changes in state from solid to liquid and from liquid to gas, the molecules remain intact
- The changes in state are due to the changes in forces among the molecules rather than those within the molecules
Phase changes: Solid to Liquid
As energy is added, the motion of the molecules increases, and they eventually achieve greater movement and the disorder characteristic of a liquid
phase changes: liquid to gas
As more energy is added, the gaseous state is eventually reached, in which the individual molecules are far apart and interact relatively little
Intramolecular Forces
- WITHIN
- Take place within the molecule
- Molecules are formed by sharing electrons between the atoms
- Hold the atoms of a molecule together
- 2 types: ionic and covalent *ionic is stronger
intermolecular forces
- BETWEEN
- Forces that occur between molecules
- 3 types: D-D, H-bonding, L-D
__ forces are stronger than __ forces
Intramolecular forces are stronger than intermolecular forces
what are the 2 types of intramolecular forces?
ionic and covalent
- ionic is stronger
what are the 3 types of intermolecular forces?
dipole-dipole, Hydrogen bonding, and London dispersion
- H-bonding is strongest
- London dispersion is weakest
dipole-dipole forces
- dipole moment
- Molecules with dipole moments can attract each other electrostatically
- They line up so that the positive and negative ends are close to each other
- Only about 1% as strong as covalent or ionic bonds
hydrogen bonding
- Hydrogens have FON
- strongest
- Strong dipole–dipole forces occur between molecules when hydrogen is bound to a highly electronegative atom - Nitrogen, oxygen, or fluorine (FON)
- Affects physical properties (Boiling point)
a) stronger the force the higher the boiling pt
London Dispersion Forces
- weakest
- occurs in ALL molecules
- e- constantly moving
- Forces that exist among noble gas atoms and non-polar molecules
- Instantaneous dipole that occurs temporarily in a given atom induces a similar dipole in a neighboring atom
- Significant in large atoms/molecules
- Occurs in all molecules, including non-polar ones
London Dispersion Forces: Non-polar molecules
- also interact by developing instantaneous dipoles
- Become stronger as the size of atoms or molecules increases
melting and boiling points
Stronger the intermolecular forces, higher the melting and boiling points
- H-bonding has highest melting and boiling points
Which molecule is capable of forming stronger intermolecular forces? H2O or N2?
H2O
Which gas would behave more ideally at the same conditions of P and T? CO or N2?
N2
Consider the following compounds: NH3, CH4, H2
How many of the compounds above exhibit London dispersion forces?
3
Vaporization or Evaporation
- Molecules of a liquid can escape the liquid’s surface and form a gas
- Endothermic process: Requires energy to overcome the relatively strong intermolecular forces in the liquid
Vapor Pressure
- Amount of liquid decreases initially and then becomes constant
- Condensation
- When no further change is visible, the opposing processes balance each other = Equilibrium
- Equilibrium vapor pressure
- The system is at equilibrium when no net change occurs in the amount of liquid or vapor because the two opposite processes exactly balance each other
- Liquids in which the intermolecular forces are strong have relatively low vapor pressures
Condensation
Process by which vapor molecules convert to a liquid
equilibrium
opposing processes balance each other
- no net change occurs in the amount of liquid or vapor because the two opposite processes exactly balance each other
Equilibrium vapor pressure
Pressure of the vapor present at equilibrium
the stronger the force the __ the vapor pressure
lower
London dispersion forces have __ vapor pressures
high
Which of the following would be expected to have the highest vapor pressure at room temperature?
a) CH3CH2CH2OH
b) CH3CH2CH2NH2
c) CH3CH2CH2CH3
d) CH3CH2CH3
d) CH3CH2CH3
types of solids
- crystalline solids
- molecular solids
- atomic solids
Crystalline Solids
Substances with a regular arrangement of their components form crystalline solids
types of crystalline solids
- ionic solids
- molecular solids
- atomic solids
ionic solids
- components are ions
- Ions at the points of the lattice that describes the structure of the solid
molecular solids
- components are molecules
- Discrete covalently bonded molecules at each of its lattice points
atomic solids
- components are atoms
- Atoms at the lattice points that describe the structure of the solid
examples of 3 types of crystalline solids
1) diamond -atomic
2) NaCl -ionic
3) H2O (ice) -molecular
bonding in metals
- Metals are held together by strong but nondirectional covalent bonds (called the electron sea model) among the closely packed atoms
solution
a homogeneous mixture
Solvent
a substance present in the largest amount in a solution
Solute
a substance that dissolves in a solvent to form a solution
Aqueous solution
a solution with water as the solvent
example of solution
solution: hot chocolate
solvent: water or milk
solute: chocolate powder
various types of solutions
gas and metal can also be solutions, not just liquids
solubility of ionic substances
- Ionic substances break up into individual cations and anions when dissolved in water
- Polar water molecules interact with the positive and negative ions of a salt
- Ethanol is soluble in water because of its polar O—H bond
- ion breaks into cation and anion
solubility of polar substances
Why is solid sugar soluble in water?
because of the O-H polar bond
Why is solid sugar soluble in water?
because of the O-H polar bond
Substances Insoluble in Water
- Non-polar oil does not interact with polar water
- Water–water hydrogen bonds keep the water from mixing with the non-polar molecules
How Substances Dissolve
- A “hole”must be made in the water structure for each solute particle
- The lost water–water interactions must be replaced by water–solute interactions
- “Like dissolves like”
like dissolves __
like
polar molecules dissolve in __
polar solvents
a non-polar molecule dissolves in __
a non-polar solvent
Which of the following solutes will generally not dissolve in the specified solvent? Choose the bestanswer. Assume all of the compounds are in the liquid state. a) CCl4 mixed with water or H2O b )NH3 mixed with water or H2O c) CH3OH mixed with water or H2O d) N2mixed with methane or CH4
a) CCl4 mixed with water or H2O
Terms Associated with the Concentration of a Solution
- The solubility of a solute is limited
a) Saturated solution
b) Unsaturated solution - Solutions are mixtures
- Amounts of substances can vary in different solutions
a) Specify the amounts of solvent and solute
b) Use qualitative measures of concentration - Relatively large amount of solute is dissolved in a concentrated solution
- Relatively small amount of solute is dissolved in a dilute solution
Saturated solution
contains as much solute as will dissolve at that temperature
Unsaturated solution
is a solution that has not reached the limit of solute that will dissolve in it
Relatively large amount of solute is dissolved in a __ solution
concentrated
Relatively small amount of solute is dissolved in a __ solution
dilute
mass percent
mass percent = mass of solute ÷ mass of solution x 100%
mass percent = grams of solute ÷ (grams of solute + grams of solvent) x 100%
What is the percent-by-mass concentration of glucose in a solution made by dissolving 5.5 g of glucose in 78.2 g of water?
6.6%
calculating molarity
- Molarity, M, equals the number of moles of solute per volume of solution in liters
M = moles of solute / liters of solution
you have 1.00 mol of sugar in 125.0 mL of solution. Calculate the concentration in units of molarity.
8.00 M
A 500.0-g sample of potassium phosphate is dissolved in enough water to make 1.50 L of solution. What is the molarity of the solution?
1.57 M
You have a 10.0-M sugar solution. What volume of this solution do you need to have 2.00 mol of sugar?
0.200 L
You have two HCl solutions, labeled Solution A and Solution B. Solution A has a greater concentration than Solution B. Which of the following statements is true?
If you have equal moles of HCl in both solutions, Solution B must have a greater volume
concentration of ions
- concentration of ions stays consistent
For a 0.25 M CaCl2 solution:CaCl2→ Ca2+ + 2Cl- - Ca2+: 1 × 0.25 M = 0.25 M Ca2+
- Cl- : 2 × 0.25 M = 0.50 M Cl–
Standard Solution
A solution whose concentration is accurately known
- curve is straight up
Steps to Make a Standard Solution
- Weigh out a sample of solute
- Transfer it to a volumetric flask
- Add enough solvent to bring the volume up to the mark on the neck of the flask
dilution
M1 x V1 = M2 x V2
- The process of adding water to a concentrated or stock solution to achieve a solution of desired concentration
- Dilution with water does not alter the numbers of moles of solute present
- Moles of solute before dilution equals moles of solute after dilution
- changing denominator of molarity
Steps to Dilute a Solution
- Transfer a measured amount of original solution to a flask containing some water
- Add water to the flask by swirling to bring the volume up to the calibration mark
- Mix by inverting the flask
What is the minimum volume of a 2.00-M NaOH solution needed to make 150.0 mL of a 0.800-M NaOH solution?
60.0 mL
What is the minimum volume of a 5.68-M NaOH solution needed to make 323.0 mL of a 2.96-M NaOH solution?
168 mL
* 155 mL water added (323 - 168 = 155)
example of concentrated vs diluted solution
food coloring in a bowl of water is concentrated, food coloring in a pool is dilute
Steps for Solving Stoichiometric Problems Involving Solutions
- Write the balanced equation for the reaction
- For reactions involving ions, it is best to write the net ionic equation - Calculate the moles of reactants
- Determine which reactant is limiting
- Calculate the moles of other reactants or products, as required
- Convert to grams or other units, if required
- 0 mL of a 0.30-M sodium phosphate solution reacts with 20.0 mL of a 0.20-M lead(II) nitrate solution (assume no volume change)
- What precipitate will form?
- What mass of precipitate will form?
- lead(II) phosphate, Pb3(PO4)2
- 1.1 g Pb3(PO4)
- 0 mL of a 0.30-M sodium phosphate solution reacts with 20.0 mL of a 0.20-M lead(II) nitrate solution (assume no volume change)
- What is the concentration of nitrate ions left in the solution after the reaction is complete?
0.27 M
- 0 mL of a 0.30-M sodium phosphate solution reacts with 20.0 mL of a 0.20-M lead(II) nitrate solution (assume no volume change)
- What is the concentration of phosphate ions left in the solution after the reaction is complete?
0.011 M
dipole moment
molecules w polar bonds often behave in an electric field as if they had a center of positive charge
(+) end attracts (-) end
non polar
equal sharing of e- (diatomics)
polar
non-equal sharing of e- (HCl)
Standard atmosphere (atm)
A related unit for pressure