Solved: Consider an infinitesimal reversible adiabatic

Chapter 12, Problem 1288

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Consider an infinitesimal reversible adiabatic compression or expansion process. By taking s 5 s(P, v) and using the Maxwell relations, show that for this process Pv k 5 constant, where k is the isentropic expansion exponent defined as k 5 v Pa 0P 0v b s Also, show that the isentropic expansion exponent k reduces to the specific heat ratio cp/cv for an ideal gas.

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