Halliday, Resnick & Walker — The Kinetic Theory of Gases: Problem 18

18 We know that for an adiabatic process \( pV^\gamma = \text{a constant} \). Evaluate "a constant" for an adiabatic process involving exactly 2.0 mol of an ideal gas passing through the state having exactly \( p = 1.5 \text{ atm} \) and \( T = 300 \text{ K} \). Assume a diatomic gas whose molecules rotate but do not oscillate.