PhysicsLAB Practice Problems
Ideal Gas Law

Directions: On this worksheet you will practice with the Ideal Gas Law, the Combined Gas Law, as well as the relationships between the number of moles, the mass, and the number of molecules in a gas sample.

Question 1  A mass of nitrogen gas occupies 0.05 m3 at one atmosphere of pressure (1 atm = 1.01 x 105 Pa), and 14 ºC. What will be its new volume if the pressure is increased to 2.4 x 105 Pa and the temperature is increased by 7 ºC?
Question 2  How much mass of nitrogen is present in the sample in Question #1?
Question 3  A sample of 8 grams of oxygen is at STP (1.01 x 105 Pa and 0 ºC). How many molecules are present in the sample?
Question 4  A certain mass of helium gas occupies 240 cm3 at 21 ºC and 2.4 x 105 Pa. How many moles are present in the sample?
Question 5  A tiny bubble of air, V = 5 cm3, is released by a fish near the bottom of a lake at a depth of 24 meters. If the temperature at the bottom of the lake is 4 ºC and 12 ºC at the surface, what is the volume of the bubble just as it breaks the surface of the lake?
Question 6  Two flasks are connected by an tube that is initially clamped off. One flask, volume of 240 cm3, contains argon gas at 0.5 atmospheres while the second flask, volume of 480 cm3, contains helium at 1.3 atmospheres. The clamp is removed so that the gases can mix. If the temperature remains constant, what is the final pressure in the double-flask system?
Question 7  What is the average translational velocity of one nitrogen molecule in the sample in Question #1 when the gas was at its original temperature, 14 ºC?

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Catharine H. Colwell
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Mark Acton