1. The volume of air in a tyre is 9.0 x 10-3m³. Atmospheric pressure is 1.0 x 105 Pa. Calculate the work done against the atmosphere by the air when the tyre bursts and the air expands to a volume of 2.7 x 10-2m².

2. High-pressure gas in a spray-can has a volume of 250 cm³. The gas escapes into the atmosphere through a nozzle, so that its final volume is four times the volume of the can. Calculate the work done by the gas, given that atmospheric pressure is 1.0 x 105 Pa.

A cylinder containing an ideal gas has a volume of 2.0m3 and a pressure of 1.0 x 105 Pa at a temperature of 300K. The cylinder is places against a metal block that is maintained at 900 k and the gas expands as the pressure remains constant until the temperature of the gas reaches 900 K. The change in internal energy of the gas is 6.0 x 10^5 J. How much heat did the gas absorb?

A 39.5 g projectile is launched by the expansion of hot gas in anarrangement shown in Figure (a). The cross-sectional area of thelaunch tube is 1.0 cm2, and the length that the projectile travelsdown the tube after starting from rest is 32 cm. As the gasexpands, the pressure varies as shown in Figure (b). The values forthe initial pressure and volume are Pi = 1.0 106 Pa and Vi = 8.0cm3 while the final values are Pf = 1.1 105 Pa and Vf = 40.0 cm3.Friction between the projectile and the launch tube isnegligible.
(a) If the projectile is launched into a vacuum, what is the speedof the projectile as it leaves the launch tube?
1 m/s
(b) If instead the projectile is launched into air at a pressure of1.1 105 Pa, what fraction of the work done by the expanding gas inthe tube is spent by the projectile pushing air out of the way asit proceeds down the tube?