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Second law of thermodynamics, entropy

Problem 2.127

An ideal gas with the adiabatic exponent γ\gamma goes through a cycle (Fig. 2.3) within which the absolute temperature varies τ\tau -fold. Find the efficiency of this cycle.

Reveal Answer
η=1−2γ+τ(1+γ)(1+τ)\eta=1-2 \frac{\gamma+\sqrt{\tau}}{(1+\gamma)(1+\sqrt{\tau})}
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