An ideal gas sample of 2.0 mol undergoes the cyclic process ABCA as shown in the figure. A total of 1200 J of heat is withdrawn from the sample during the cycle. Determine the work done by the gas during the part BC .

Step-by-step solution

In the given cyclic process ABCA , the graph is a T-V (Temperature-Volume) diagram. 1. Process C A : The line is vertical, which means the volume is constant ( V = constant ). This is an isochoric process. Work done, W_ CA = 0 . 2. Process A B : The line passes through the origin, which means T V . From the ideal gas equation PV = nRT , this implies that the pressure P is constant. This is an isobaric process. The work done is given by: W_ AB = P V = nR T = nR(T_B - T_A) From the graph, T_A = 300 K . The point B is