Consider 10 moles of nitrogen within a cylinder with.a cross sectional area o f 1 m^2. Assume that the cover ("cap") ofthe cylinder, is a disk which can slide frictionlessly within the cylinder. Assume that the cap makes a "leak-proof' fit so that 10 moles of nitrogen always exist within the cylinder, independent of the cap height. The gas in the cylinder has pressure 120xl0^3 Pa.
An additional 2000-kg mass is placed on the cap, which causes the cylinder to finally contract to a final equilibrium height of 15 cm. Compute the new temperature of the gas contained within the shorter cylinder. Assume the cylinder is in contract with an appropriate thermal reservoir, i.e., that heat can flow in or out of the gas. Assume g = 9.8 m/s^2.