Consider a cycle $ABCD$ with perfect gas as the working substance. $AB$ is at constant volume $V_1$ and $CD$ is at constant volume at $V_2$ with $V_2\,>\,V_1$ The parts $BC$ and $DA$ are adiabatic. Calculate the efficiency of this engine in terms of $V_1$ and $V_2$. (Note this is different from Carnot's engine and so we can not draw similar conclusions about the efficiency being maximum)
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