A single gas stream enters a process at conditions T₁. P₁, and leaves at pressure P₂. The process is adiabatic. Prove that the outlet temperature T₂ for the actual (irreversible) adiabatic process is...

A single gas stream enters a process at conditions T₁. P₁, and leaves at pressure P₂. The process is adiabatic. Prove that the outlet temperature T₂ for the actual (irreversible) adiabatic process is greater than that for a reversible adiabatic process. As sume the gas is ideal with constant heat capacities.