Serway & Jewett — The Kinetic Theory of Gases: Problem 12.

A vertical cylinder with a heavy piston contains air at $300\text{ K}$. The initial pressure is $2.00 \times 10^5\text{ Pa}$, and the initial volume is $0.350\text{ m}^3$. Take the molar mass of air as $28.9\text{ g/mol}$ and assume $C_V = \frac{5}{2}R$. (a) Find the specific heat of air at constant volume in units of $\text{J/kg}\cdot{^\circ\text{C}}$. (b) Calculate the mass of the air in the cylinder. (c) Suppose the piston is held fixed. Find the energy input required to raise the temperature of the air to $700\text{ K}$. (d) What If? Assume again the conditions of the initial state and assume the heavy piston is free to move. Find the energy input required to raise the temperature to $700\text{ K}$.