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Gas Laws Worksheet

Boyle, Charles, Pressure and Combined Gas Laws

Boyle’s Law Problems:

P1V1= P2V2

1 atm = 760.0 mm Hg = 101.3 kPa= 760 .0 torr

1. If 22.5 L of nitrogen at 748 mm Hg are compressed to 790 mm Hg at constant temperature. What is the new volume?

2. A gas with a volume of 4.0L at a pressure of 205kPa is allowed to expand to a volume of 12.0L. What is the pressure in the container if the temperature remains constant?

3. What pressure is required to compress 196.0 liters of air at 1.00 atmosphere into a cylinder whose volume is 26.0 liters?

4. A 40.0 L tank of ammonia has a pressure of 12.7 kPa. Calculate the volume of the ammonia if its pressure is changed to 8.4 kPa while its temperature remains constant.

Charles’ Law Problems:

1 atm = 760.0 mm Hg = 101.3 kPa= 760 .0 torr

5. A container containing 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure (as required by Charles' Law)?

6. A gas occupies 900.0 mL at a temperature of 27.0 °C. What is the volume at 132.0 °C?

7. If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperature be to maintain constant pressure?

Pressure (Lussac) Law Problems:

8. Determine the pressure change when a constant volume of gas is heated from 20.0°C to 30.0°C.9. If a gas in a closed container is pressurized from 15 atm to 16 atm and its original temperature was

25°C, determine its final temperature.10. The temperature of a sample of gas in a sealed container at 30.0 kPa is increased from –100°C to

1000°C. Determine the final temperature.

P1/T1 = P2/T2

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Gas Equation

11. A toy balloon has an internal pressure of 1.05 atm and a volume of 5.0 L. If the temperature where the balloon is released is 20° C, what will happen to the volume when the balloon rises to an altitude where the pressure is 0.65 atm and the temperature is –15° C?

12. A small research submarine with a volume of 1.2 x 105 L has an internal pressure of 1.0 atm and an internal temperature of 15° C. If the submarine descends to a depth where the pressure is 150 atm and the temperature is 3° C, what will the volume of the gas inside be if the hull of the submarine breaks?

13. A child has a toy balloon with a volume of 1.80 liters. The temperature of the balloon when it was filled was 20° C and the pressure was 1.00 atm. If the child were to let go of the balloon and it rose 3 kilometers into the sky where the pressure is 0.667 atm and the temperature is -10° C, what would the new volume of the balloon be?

Conceptual Gas Law Problems

Directions: Describe what changes will occur in the temperature, pressure, and volume of the gas in each problem below. Do the gas particles move faster/slower and do they collide more/less frequently?

1. Why is a tire blowout most likely to happen on a trip in the summer than on one taken in the winter? 2. At a birthday party, a child sits on a partially filled balloon, decreasing its volume by ¼. What is the new pressure inside the balloon? 3. A bicycle pump is pulled out as far as it will go. The piston is then pushed down half the length of the pump. 4. A balloon is placed inside a freezer where the temperature is decreased by ½ of the original temperature. What is the new volume of the balloon? 5. A rigid plastic container holds a gas, methane. If the temperature is doubled, what will happen to the pressure? 6. A shaving cream container which contains a compressed gas has a warning label which read ‘Do not store this container near a heat source.’ Explain why this warning is issued.7. Explain the process of breathing in terms of Boyle’s Law. You may need to research this one.8. The only remaining law we did not discuss was Avogadro’s law. This law looks at the relationship between the number of molecules and the volume of a container at constant temperature and pressure. Explain how volume and the number of molecules would be related to each other in terms of kinetic molecular theory.