Consider the given figure. Suppose U₁ and U₂ represent the change in internal energy for processes A and B , respectively. Let Q denote the net heat supplied to the system in the combined process A + B , and let W be the net work performed by the system in the process A + B .

Step-by-step solution

From the given P-V diagram, the process A starts from an initial state (let us call it state 1) and ends at a final state (state 2). The process B starts from state 2 and returns to state 1. The change in internal energy for process A is U₁ = U₂ - U₁ . The change in internal energy for process B is U₂ = U₁ - U₂ . Adding the two changes in internal energy, we get: U₁ + U₂ = (U₂ - U₁) + (U₁ - U₂) = 0 The combined process A + B is a cyclic process, so the net change in internal energy is zero ( U = 0 ). According to t