Two processes A and B on a system are illustrated in the figure. Let Q₁ and Q₂ denote the heat given to the system during processes A and B , respectively. Then

Step-by-step solution

According to the first law of thermodynamics, Q = U + W . Since both processes A and B start from the same initial state and end at the same final state, the change in internal energy U is the same for both processes. The work done W by the system is equal to the area under the p-V curve. From the given graph, the area under the curve for process A is greater than the area under the curve for process B . Thus, W_A > W_B . Therefore, the heat given to the system during process A is greater than that during process B