Question: Consider an infinitesimal reversible adiabatic compression or expansion process. By taking s = s(P, v) and using the Maxwell relations, show that for this process

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

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