Solve the following problems. Show all work. Use correct units. Assume that all gases behave ideally unless the problem states otherwise.

1 Two gas particles are bragging about the distance running they used to do in high school. If the two gases, methane (CH₄) and oxygen gas, run an ultra-marathon who will run the farthest and how much farther will they run? (An ultra-marathon is a 24 hour race, in which each runner goes as far as they can in the twenty four hours. Winners are determined by distance alone since the time is the same for each runner.)

2. If a tanker car is filled with 1.000 x 10⁵ g of helium gas so that the pressure inside the 3000.0 L tanker is 20057 mm Hg, what is the temperature of the car?

3. The gas in #2 behaves ideally under the conditions described. Why?

4. If a can of Lysol is designed to withstand internal pressures of up to 4.500 atm, how hot must the can get before it explodes, assuming that it has a volume of 0.400 L and an initial pressure of 3.00 atm at a temperature of 25.7^oC?

5. Hydrogen gas is collected over water as you did in the experiment with the magnesium and concentrated hydrochloric acid. The temperature of the gas collected is 23.7^oC and the pressure in the room is 778.3 mm Hg. If the volume of the gas is 45.00 ml and the vapor pressure of the water is 21.3 mm Hg how many grams of magnesium were used in the reaction. (Assume complete reaction and no loss of gas.)

Answer the following questions. Make sure that your answers are as complete as possible. (Most answers will require a discussion of molecules)

6. Why does the pressure of a gas go up when the temperature does?

7. What is true about gases at the same temperature?

8. Derive Graham's Law from the kinetic energy expression. SHOW WORK.

9. Why is a decrease in volume accompanied by an increase in pressure?

10. What is pressure?

11. How does a straw work?