Consider the process shown in the figure below. The work output of an autiabatic and reversible turbine is used to drive an adiabatic and reversible compressor.

a$.$ Calculate the molar flow rate of air through the system.

b$.$ Determine the temperature of air at the exit of the combustor.

c$.$ If the cross$-$sectional area of the nozzle at the exit is $40c{m}^2,$ calculate the exhaust velocity of air.

d$.$