#### Question

A gas-turbine power plant operating on the simple Brayton cycle has a pressure ratio of 7. Air enters the compressor at $0^{\circ} \mathrm{C}$ and 100 kPa. The maximum cycle temperature is 1500 K. The compressor has an isentropic efficiency of 80 percent, and the turbine has an isentropic efficiency of 90 percent. Assume constant properties for air at 300 K with $c_{v}=0.718 \mathrm{kJ} / \mathrm{kg} \cdot K,\ c_{p}=1.005 \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K},\ R=0.287 \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}$ k=1.4. (a) Sketch the T-s diagram for the cycle. (b) If the net power output is 150 MW, determine the volume flow rate of the air into the compressor in $\mathrm{m}^{3} / \mathrm{s}.$ (c) For a fixed compressor inlet velocity and flow area, explain the effect of increasing compressor inlet temperature (i.e., summertime operation versus wintertime operation) on the inlet mass flow rate and the net power output with all other parameters of the problem being the same.

#### Solution

Verified#### Step 1

1 of 4$\textbf{\large Part A}$