Question:

The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use γ = 1.4) : 

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A negative value for work done on the gas (compression) is expected if the volume decreases during the adiabatic step.
Updated On: Jan 31, 2026
  • 400 J
  • -500 J
  • 200 J
  • -400 J
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The Correct Option is B

Solution and Explanation

Step 1: Work done in an adiabatic process is $W = \frac{P_1V_1 - P_2V_2}{\gamma - 1}$.
Step 2: For process CD, $W_{CD} = \frac{P_C V_C - P_D V_D}{\gamma - 1}$.
Step 3: For a diatomic gas, $\gamma - 1 = 0.4$. Using values from the diagram: $W = \frac{200 - 400}{0.4} = -500 \text{ J}$.
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