Problem $1(10\mathrm{.}21)$

A large stationary Brayton cycle gas$-$turbine power plant delivers a power output of $100$ MW to an electric generator. The minimum temperature in the cycle is $300$ K $,$ and the exhaust temperature is $750$ K $.$ The minimum pressure in the cycle is $100$ kPa $,$ and the compressor pressure ratio is $14$ to $1.$ Calculate the power output of the turbine, fraction of the turbine output required to drive the compressor, and the thermal efficiency of the cycle?

Answer: $W_T=166\mathrm{.}85MW,\frac{W_c}{W_T}=0\mathrm{.}4,{}_{th}=0\mathrm{.}529$

Problem $2(10\mathrm{.}38)$

Extend Problem $1(10\mathrm{.}21),$ by including a regenerator with $75\%$ efficiency in the cycle.

Answer: $W_T=166\mathrm{.}85MW,\frac{w_C}{W_T}=0\mathrm{.}4,{}_{th}=0\mathrm{.}58$

Problem $3(10\mathrm{.}46)$

The Brayton cycle in Problem $1(10\mathrm{.}21)$ is changed to be a jet engine. Find the exit velocity

Answer: V $=1008\frac{m}{s}$