1. Boyles’ Law
Use Boyles’ Law to answer the following questions:
1) 1.00 L of a gas at standard temperature and pressure is compressed to
473 mL. What is the new pressure of the gas? 2.11 atm
2) In a thermonuclear device, the pressure of 0.050 liters of gas within the
bomb casing reaches 4.0 x 106 atm. When the bomb casing is destroyed
by the explosion, the gas is released into the atmosphere where it reaches
a pressure of 1.00 atm. What is the volume of the gas after the
explosion?
2.0 x 105 L
3) Synthetic diamonds can be manufactured at pressures of 6.00 x 104 atm.
If we took 2.00 liters of gas at 1.00 atm and compressed it to a pressure of
6.00 x 104 atm, what would the volume of that gas be? 3.33 x 105 L
4) The highest pressure ever produced in a laboratory setting was about 2.0
x 106 atm. If we have a 1.0 x 10-5 liter sample of a gas at that pressure,
then release the pressure until it is equal to 0.275 atm, what would the
new volume of that gas be? 72.7 L
5) Atmospheric pressure on the peak of Mt. Everest can be as low as 150
mm Hg, which is why climbers need to bring oxygen tanks for the last part
of the climb. If the climbers carry 10.0 liter tanks with an internal gas
pressure of 3.04 x 104 mm Hg, what will be the volume of the gas when it
is released from the tanks? 2.0 x 103 L
6) Part of the reason that conventional explosives cause so much damage is
that their detonation produces a strong shock wave that can knock things
down. While using explosives to knock down a building, the shock wave
can be so strong that 12 liters of gas will reach a pressure of 3.8 x 104 mm
Hg. When the shock wave passes and the gas returns to a pressure of
760 mm Hg, what will the volume of that gas be? 600 L
7) Submarines need to be extremely strong to withstand the extremely high
pressure of water pushing down on them. An experimental research
submarine with a volume of 15,000 liters has an internal pressure of 1.2
atm. If the pressure of the ocean breaks the submarine forming a bubble
with a pressure of 250 atm pushing on it, how big will that bubble be? 72 L
8) Divers get “the bends” if they come up too fast because gas in their blood
expands, forming bubbles in their blood. If a diver has 0.05 L of gas in his
blood under a pressure of 250 atm, then rises instantaneously to a depth
where his blood has a pressure of 50.0 atm, what will the volume of gas in
his blood be? Do you think this will harm the diver? V = 0.25 L, yes
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2. Charles’ Law Worksheet ANSWER KEY
1) The temperature inside my refrigerator is about 40 Celsius. If I place a
balloon in my fridge that initially has a temperature of 220 C and a volume
of 0.5 liters, what will be the volume of the balloon when it is fully cooled
by my refrigerator? 0.47 L
2) A man heats a balloon in the oven. If the balloon initially has a volume of
0.4 liters and a temperature of 20 0C, what will the volume of the balloon
be after he heats it to a temperature of 250 0C? 0.71 L
3) On hot days, you may have noticed that potato chip bags seem to “inflate”,
even though they have not been opened. If I have a 250 mL bag at a
temperature of 19 0C, and I leave it in my car which has a temperature of
600 C, what will the new volume of the bag be? 285 mL
4) A soda bottle is flexible enough that the volume of the bottle can change
even without opening it. If you have an empty soda bottle (volume of 2 L)
at room temperature (25 0C), what will the new volume be if you put it in
your freezer (-4 0C)? 1.81 L
5) Some students believe that teachers are full of hot air. If I inhale 2.2 liters
of gas at a temperature of 180 C and it heats to a temperature of 380 C in
my lungs, what is the new volume of the gas? 2.35 L
6) How hot will a 2.3 L balloon have to get to expand to a volume of 400 L?
Assume that the initial temperature of the balloon is 25 0C. 51,800 K
7) I have made a thermometer which measures temperature by the
compressing and expanding of gas in a piston. I have measured that at 1000 C
the volume of the piston is 20 L. What is the temperature outside if the piston
has a volume of 15 L? What would be appropriate clothing for the weather? The
temperature is 298.5 K, which corresponds to 0.50 C. A jacket would be
appropriate clothing for this weather
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3. Ideal Gas Law Problems – Solution Key
1) If I have 4 moles of a gas at a pressure of 5.6 atm and a volume of 12
liters, what is the temperature? 205 K
2) If I have an unknown quantity of gas at a pressure of 1.2 atm, a volume of
31 liters, and a temperature of 87 0C, how many moles of gas do I have?
1.26 moles
3) If I contain 3 moles of gas in a container with a volume of 60 liters and at a
temperature of 400 K, what is the pressure inside the container?
1.64 atm OR 166 kPa
4) If I have 7.7 moles of gas at a pressure of 0.09 atm and at a temperature
of 56 0C, what is the volume of the container that the gas is in? 2310 L
5) If I have 17 moles of gas at a temperature of 67 0C, and a volume of 88.89
liters, what is the pressure of the gas? 5.34 atm
6) If I have an unknown quantity of gas at a pressure of 0.5 atm, a volume of
25 liters, and a temperature of 300 K, how many moles of gas do I have?
0.51 moles
7) If I have 21 moles of gas held at a pressure of 78 atm and a temperature
of 900 K, what is the volume of the gas? 19.9 L
8) If I have 1.9 moles of gas held at a pressure of 5 atm and in a container
with a volume of 50 liters, what is the temperature of the gas? 1603 K
9) If I have 2.4 moles of gas held at a temperature of 97 0C and in a
container with a volume of 45 liters, what is the pressure of the gas?
1.62 atm
10) If I have an unknown quantity of gas held at a temperature of 1195 K in a
container with a volume of 25 liters and a pressure of 560 atm, how many
moles of gas do I have? 143 moles
11) If I have 0.275 moles of gas at a temperature of 75 K and a pressure of
1.75 atmospheres, what is the volume of the gas? 0.97 L
12) If I have 72 liters of gas held at a pressure of 3.4 atm and a temperature of
225 K, how many moles of gas do I have? 13.3 moles
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4. The Ideal and Combined Gas Laws
Use your knowledge of the ideal and combined gas laws to solve the following
problems. Hint: Figuring out which equation you need to use is the hard part!
1) If four moles of a gas at a pressure of 5.4 atmospheres have a volume of
120 liters, what is the temperature? 2000K
2) If I initially have a gas with a pressure of 84 kPa and a temperature of 350
C and I heat it an additional 230 degrees, what will the new pressure be?
Assume the volume of the container is constant. 150 kPa
3) My car has an internal volume of 2600 liters. If the sun heats my car from
a temperature of 200 C to a temperature of 550 C, what will the pressure
inside my car be? Assume the pressure was initially 760 mm Hg. 850 K
4) How many moles of gas are in my car in problem #3? 108 mol
5) A toy balloon filled with air has an internal pressure of 1.25 atm and a
volume of 2.50 L. If I take the balloon to the bottom of the ocean where
the pressure is 95 atmospheres, what will the new volume of the balloon
be? How many moles of gas does the balloon hold? (Assume T = 285 K)
0.033L, 0.13 mol
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5. Dalton’s Law Worksheet Answers
1) A metal tank contains three gases: oxygen, helium, and nitrogen. If the
partial pressures of the three gases in the tank are 35 atm of O2, 5 atm of
N2, and 25 atm of He, what is the total pressure inside of the tank?
65 atm
2) Blast furnaces give off many unpleasant and unhealthy gases. If the total
air pressure is 0.99 atm, the partial pressure of carbon dioxide is 0.05 atm,
and the partial pressure of hydrogen sulfide is 0.02 atm, what is the partial
pressure of the remaining air?
0.92 atm
3) If the air from problem 2 contains 22% oxygen, what is the partial pressure
of oxygen near a blast furnace?
0.20 atm
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