Determine the polytropic process that minimizes the entropy, Physics

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Determine the polytropic process that minimizes the entropy

You are given the task of compressing a fixed quantity of gas from P₁, T₁ to P_2, T₁. You wish to do this using a polytropic process coupled with a constant pressure P₂ heat-transfer process. Determine the polytropic process that minimizes the entropy generation.

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