Serway & Jewett — The Kinetic Theory of Gases: Problem 18.

During the compression stroke of a certain gasoline engine, the pressure increases from \(1.00\text{ atm}\) to \(20.0\text{ atm}\). If the process is adiabatic and the air–fuel mixture behaves as a diatomic ideal gas, (a) by what factor does the volume change and (b) by what factor does the temperature change? Assuming the compression starts with \(0.0160\text{ mol}\) of gas at \(27.0^\circ\text{C}\), find the values of (c) \(Q\), (d) \(\Delta E_{\text{int}}\), and (e) \(W\) that characterize the process.