Consider a process in which a gas undergoes an adiabatic expansion from a temperature condition of 500 K and 60 bar to a pressure of 10 bar. Perform the output current temperature calculation for the following situations:

a) Considering a reversible process and ideal gas behavior with constant heat capacity and equal to (7/2)R;

b) Considering an irreversible process, with mechanical efficiency of 80%, and adiabatic, assuming the behavior of an ideal gas with constant heat capacity and equal to (7/2)R;

c) Considering a reversible process and the behavior of a real gas, in which with constant heat capacity and equal to (7/2)R and the residual entropy is given by SR= -2.5ln(T);