Exhaust gases from the turbine of a simple Brayton cycle are quite hot and may be used for other thermal purposes. One proposed use is generating saturated steam at $110$ from water at $30$ in a boiler. This steam will be distributed to several buildings on a college campus for space heating. A Brayton cycle with a pressure ration of $6$ is to be used for this purpose. Calculate and then Plot the followings:

$($a$)$ The mechanical power produced, as function of the rate at which heat is added to the cycle.

$($b$)$ the flow rate of the produced steam, as function of the rate at which heat is added to the cycle.

key notes: Note that the temperature at the turbine inlet is not to exceed $2000$

The cycle is ideal $(100\%$ isentropic efficiency for all components$)$

There is no recuperator, intercooler or reheater involved.