Question:

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

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In cyclic processes, the work done is represented by the area enclosed in the P-V diagram.
Updated On: May 15, 2025
  • \( \pi \left( \frac{P_2 - P_1}{2} \right)^2 \)
  • \( \pi \left( \frac{V_2 - V_1}{2} \right)^2 \)
  • \( \pi (P_2 V_2 - P_1 V_1) \)
  • \( \pi \left( P_2 - P_1 \right)(V_2 - V_1) \)
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The Correct Option is D

Solution and Explanation

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: \[ \boxed{W = \pi \left( P_2 - P_1 \right)(V_2 - V_1)} \]
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