Question

In the cyclic process given in the P-V diagram, the work done is

• A. \( \pi \left( \frac{P_2 - P_1}{2} \right)^2 \)
• B. \( \pi \left( \frac{V_2 - V_1}{2} \right)^2 \)
• C. \( \pi (P_2 V_2 - P_1 V_1) \)
• D. \( \pi \left( P_2 - P_1 \right)(V_2 - V_1) \)

Hint:

In cyclic processes, the work done is represented by the area enclosed in the P-V diagram.

Answer 1

The Correct Option is D

In a cyclic process, the work done is the area enclosed by the process in the P-V diagram. For the given cyclic process in the diagram, the work done can be calculated as: \[ W = \pi (P_2 - P_1)(V_2 - V_1) \] Thus, the correct expression for work done is: \[ \boxed{W = \pi \left( P_2 - P_1 \right)(V_2 - V_1)} \]