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Question

(A) The work done $W$ by a gas during an expansion or compression process is given by the integral of pressure with respect to volume: $W = \int_{V_1}

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$P(V_2 - V_1)$

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(A) The work done $W$ by a gas during an expansion or compression process is given by the integral of pressure with respect to volume: $W = \int_{V_1}^{V_2} P \, dV$. Since the pressure $P$ is constant (isobaric process),it can be taken out of the integral: $W = P \int_{V_1}^{V_2} dV$. Evaluating the integral,we get: $W = P [V]_{V_1}^{V_2} = P(V_2 - V_1)$. Therefore,the work done by the gas is $P(V_2 - V_1)$.

$A$ gas expands under constant pressure $P$ from volume $V_1$ to $V_2$. The work done by the gas is

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