The compressor inlet temperature for an ideal Brayton cycle is T_1 and the turbine inlet temperature is T_3. Using a cold air-standard analysis show that the temperature T_2 at the compressor exit that maximizes the net work developed per unit mass of air flow is T_2- (T_1 middot T_3)^1/2. draw two cycles at different temperatures T_2 and pressure ratio and identify the thermodynamic states points for the two cycles. Does T_4, the air temperature at the exit of the turbine, vary in between the two cycles?