In the 100 mw electric output solar-powered brayton-cycle plant, helium enters the compressor (c) at a pressure of 1 bar and temperature of 318 k and exits at pressure of 10 bar. the mass flow rate of helium is 73 kg/s. after gaining thermal energy from liquid-fluoride-salt in the heat exchanger (h), helium enters the turbine (t) at pressure of 10 bar and temperature of 1500 k, and exits the turbine at a pressure of 1 bar. ignore heat loss to the atmosphere, and kinetic and potential energy effects. assume helium to behave as an ideal gas with constant specific heats. cp for helium can be found from table a-21. ratio of specific heat (k) for helium is 1.66. the isentropic efficiency for the compressor and the turbine is 90% each. calculate following at steady-state:

a. temperature of helium at the exit of the compressor, in k.

b. work consumed by the compressor, in mw.

c. work produced by the turbine, in mw.

d. heat transfer rate from liquid-fluoride-salt to helium, in mw.

e. net work produced by the bratyon-cycle, in mw.

f. thermal efficiency of the brayton-cycle.