QJEEM25Pha307: JEE Main 2025 Physics - Class 11 JEEM25Pha307 Solution: Using the given diagram, the work done by an ideal gas along…

To find the work done by an ideal gas along the path $ABCD$ on the given $P-V$ diagram, we calculate the work done on each segment individually and then sum them up.

Segment $AB$ : The work is given by $\text{w}_{AB} = P_0 \times V_0$ , contributing $P_0 V_0$ .

Segment $BC$ : No volume change occurs along this path, resulting in zero work: $\text{w}_{BC} = 0$ .

Segment $CD$ : The gas compresses, performing negative work: $\text{w}_{CD} = -(2P_0 \times 2V_0) = -4P_0 V_0$ .

Adding the work done in each segment:

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Thus, the total work done by the gas along the path $ABCD$ is $-3P_0 V_0$ .