PLEASE SHOW SOLUTION STEP BY STEP WITH THERMODYNAMIC TABLE $($LISTED EX; TABLE A$-6)$ FOR GOOD RATING

A Gas power plant operating based on a Brayton cycle is reported to have an efficiency of $35\mathrm{.}9$ percent in the the simple$-$cycle mode and to produce $159$ MW of net power. The pressure ratio is $14\mathrm{.}7$ and the turbine inlet temperature is $1288C.$ The mass flow rate through the turbine is $1,536,000k\frac{g}{h}.$ Taking the ambient conditions to be $30C$ and $100$ kPa $,$ determine the isentropic efficiencies of the turbine and the compressor. $(35$ marks $)$