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Concepts Of Physics MCQ Edition [Volume 2]PhysicsLaws of Thermodynamics

Two processes on a system are illustrated in the figure. The volumes of the initial states are identical for both processes, and the volumes of the final states are also identical. Let W₁ and W₂ denote the work done by the system in processes A and B , respectively.

Options

  1. AW₁ = W₂
  2. BW₁ > W₂
  3. CThe relation between W₁ and W₂ cannot be established.
  4. DW₁ < W₂

Correct answer

D. W₁ < W₂

Step-by-step solution

From the given p-T graph, both processes A and B are represented by horizontal lines, which means they are isobaric (constant pressure) processes. Let the pressure of process A be p_A and that of process B be p_B . From the graph, it is clear that p_B > p_A . The work done by the system in an isobaric process is given by W = p V = p(V_f - V_i) . It is given that the initial volumes for both processes are identical ( V_ i,A = V_ i,B = V_i ) and the final volumes are also identical ( V_ f,A = V_ f,B = V_f ). Therefor

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