Halliday, Resnick & Walker — The Kinetic Theory of Gases: Problem 14

14 One mole of an ideal diatomic gas goes from a to c along the diagonal path in Fig. 19-18. The scale of the vertical axis is set by \(p_{ab} = 5.0 \text{ kPa}\) and \(p_c = 0.50 \text{ kPa}\), and the scale of the horizontal axis is set by \(V_{bc} = 4.0 \text{ m}^3\) and \(V_a = 2.0 \text{ m}^3\). During the transition, (a) what is the change in internal energy of the gas, and (b) how much energy is added to the gas as heat? (c) How much heat is required if the gas goes from a to c along the indirect path abc?