Air enters the turbine of a jet engine at 730k and 10.79 bar before it expands to 5.2 bar. the air then flows through a nozzle, entering at 100m/s and exiting at 1.01 bar. operation is at steady state, and the flow is adiabatic. the nozzle operates with no internal irreversibilities, but the turbine has an isentropic efficiency of 85%. kinetic effects are negligible for the turbine. assuming an ideal gas model for air, determine

(a) the power developed by the turbine per units mass of air in kj/kg
(b) the temperature of air at the outlet of the turbine in k
(c) the velocity of air exiting the nozzle v3 in m/s