Abbreviations
atm - atmosphere
mm Hg - millimeters of mercury
torr - another name for mm Hg
Pa - Pascal (kPa = kilo Pascal)
K - Kelvin
°C - degrees Celsius
Conversions
K = °C + 273
1 cm3 (cubic centimeter) = 1 mL (milliliter)
1 dm3 (cubic decimeter) = 1 L (liter) = 1000 mL
Standard Conditions
0.00 °C = 273 K
1.00 atm = 760.0 mm Hg = 101.325 kPa = 101,325 Pa
Charles’ Law Worksheet
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?
0.469 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?
0.714 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?
285.1 L
4
1.81 L
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
0
C), what will the new volume be if you put it in your freezer (-4 0C)?
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.
51,826 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?
279.75K
Gas Law Problems- Gay-Lussac's Law
8.
Determine the pressure change when a constant volume of gas at 1.00 atm is heated
from 20.0 °C to 30.0 °C.
1.03 atm
9.
A gas has a pressure of 0.370 atm at 50.0 °C. What is the pressure at standard
temperature?
0.313 atm
10.
A gas has a pressure of 699.0 mm Hg at 40.0 °C. What is the temperature at standard
pressure?
340.3 K
11.
If a gas is cooled from 323.0 K to 273.15 K and the volume is kept constant what final
pressure would result if the original pressure was 750.0 mm Hg?
634 mm Hg
12.
If a gas in a closed container is pressurized from 15.0 atmospheres to 16.0 atmospheres
and its original temperature was 25.0 °C, what would the final temperature of the gas
be?
317.9 K
13.
A 30.0 L sample of nitrogen inside a rigid, metal container at 20.0 °C is placed inside an
oven whose temperature is 50.0 °C. The pressure inside the container at 20.0 °C was at
3.00 atm. What is the pressure of the nitrogen after its temperature is increased?
3.3 atm
14.
A sample of gas at 3.00 x 103 mm Hg inside a steel tank is cooled from 500.0 °C to
0.00°C. What is the final pressure of the gas in the steel tank?
105.9 mm Hg
15.
The temperature of a sample of gas in a steel container at 30.0 kPa (kilopascal) is
increased from -100.0 °C to 1.00 x 103 °C. What is the final pressure inside the tank?
220.8 kPa
16. Calculate the final pressure inside a scuba tank after it cools from 1.00 x 103 °C to
25.0°C. The initial pressure in the tank is 130.0 atm.
30 atm
Combined Gas Law Problems
Use the combined gas law to solve the following problems:
1)
If I initially have a gas at a pressure of 12 atm, a volume of 23 liters, and a temperature
of 200 K, and then I raise the pressure to 14 atm and increase the temperature to 300 K,
what is the new volume of the gas?
29.57 L
2)
A gas takes up a volume of 17 liters, has a pressure of 2.3 atm, and a temperature of
299 K. If I raise the temperature to 350 K and lower the pressure to 1.5 atm, what is the
new volume of the gas?
30.5 L
3)
A gas that has a volume of 28 liters, a temperature of 45 0C, and an unknown pressure
has its volume increased to 34 liters and its temperature decreased to 35 0C. If I
measure the pressure after the change to be 2.0 atm, what was the original pressure of
the gas?
2.5 atm
4)
A gas has a temperature of 14 0C, and a volume of 4.5 liters. If the temperature is raised
to 29 0C and the pressure is not changed, what is the new volume of the gas?
4.7 L
5)
If I have 17 liters of gas at a temperature of 67 0C and a pressure of 88.89 atm, what will
be the pressure of the gas if I raise the temperature to 94 0C and decrease the volume to
12 liters?
135.9 atm
6)
117 L
I have an unknown volume of gas at a pressure of 0.5 atm and a temperature of 325 K.
If I raise the pressure to 1.2 atm, decrease the temperature to 320 K, and measure the
final volume to be 48 liters, what was the initial volume of the gas?
7)
If I have 21 liters of gas held at a pressure of 78 atm and a temperature of 900 K, what
will be the volume of the gas if I decrease the pressure to 45 atm and decrease the
temperature to 750 K?
30.33 L
8)
If I have 2.9 L of gas at a pressure of 5 atm and a temperature of 50 0C, what will be the
temperature of the gas if I decrease the volume of the gas to 2.4 L and decrease the
pressure to 3 atm?
160 K
9)
I have an unknown volume of gas held at a temperature of 115 K in a container with a
pressure of 60 atm. If by increasing the temperature to 225 K and decreasing the
pressure to 30 atm causes the volume of the gas to be 29 liters, how many liters of gas
did I start with?
7.41 L
Ideal Gas Law Problems
Use the ideal gas law to solve the following problems:
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?
204.6 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?
1.25 mol
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?
1.642 atm
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?
5.3 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?
0.5 mol
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?
19.89 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?
1602 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?
142 mol
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?
.96 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?
13.25L
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?
2)
If I initially have a gas with a pressure of 84 kPa (kilopascals) 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.
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.
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)