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Derive an expression for availability of a non-flow process
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Let $P_0$ be the ambient pressure, $V_1$ and $V_0$ be the initial and final volumes of the system respectively.

If in a process, the system comes into equilibrium with the surroundings, the work done in pushing back the ambient atmosphere is $P_0(V_0-V_1)$.

$Availability = W_{useful} = W_{max} - P_0(V_0-V_1)$

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