Discuss the below in detail:
Q: 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 .Also, show that the isentropic expansion exponent k reduces to the specific heat ratio cp /cv for an ideal gas.