pv diagram work

Question

Work in a PV diagram for expansion equals?

RankGuru · Accepted Answer

1. **Integral Definition**: Work done during a volume change from $V_1$ to $V_2$ is $W = \int_{V_1}^{V_2} P \, dV$.
2. **Graphical Significance**: In a Pressure vs Volume ($P$-$V$) plane, this integral represents the **area under the path curve** projecting onto the volume axis.
3. **Sign Rule**: For expansion ($V_2 > V_1$), work is positive. For compression, volume decreases and work is negative.
4. **Cycle**: For a closed loop, the work done is the net area enclosed by the loop.

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