Gas Temperature Volume and Pressure

Page
2

Question:

You are at the top of a mountain where the pressure is 0.5 atm and the temp. is 200 K. You put 2 L of air into a balloon and then take it down the mountain. Along the way, half of the air leaks out of the balloon. At the bottom of the mountain the pressure is 1 atm and the temp. is 300 K. What is the new volume?

Answer: 0.75 L