A certain industrial process requires a steady 0.5 kg/s of air at 200 m/s, at the condition

Question:

A certain industrial process requires a steady 0.5 kg/s of air at 200 m/s, at the condition of 150 kPa, 300 K. This air is to be the exhaust from a specially designed turbine whose inlet pressure is 400 kPa. The turbine process may be assumed to be reversible and polytropic, with polytropic exponent n = 1.20.
a) What is the turbine inlet temperature?
b) What are the power output and heat transfer rate for the turbine?
c) Calculate the rate of net entropy increase, if the heat transfer comes from a source at a temperature 100°C higher than the turbine inlet temperature.