Problem #$2$: $(18$ Points$)12$

A Brayton cycle $($G$.$T$.)$ power plant includes a Regenerator having $(75\%)$ efficiency; delivers a power output of $110$ MW to an electric generator. The minimum temperature and pressure in the cycle are $27C$ and $100$ kPa respectively. If the maximum temperature in the cycle is $1327C$ and the compressor pressure ratio is $14$:$1$;

a$)$ Sketch the cycle schematically and on a T$-$S diagram. $(3$ Points$)$

b$)$ Calculate the turbine output power in MW$.(5$ Points$)$

c$)$ Determine the fraction of the turbine output required to drive the comp. $(4$ Points$)$

d$)$ Determine the thermal efficiency of this cycle. $(6$ Points$)$