A simple ideal Brayton cycle operates with air with minimum and maximum temperatures of $27C$ and $727C.$ It is designed so that the

maximum cycle pressure is $2000$kPa and the minimum cycle pressure is $100$kPa. The isentropic efficiency of the turbine is $89$ percent

and that of the compressor is $80$ percent. Determine the net work produced per unit mass of air each time this cycle is executed and

the cycle's thermal efficiency. Use constant specific heats at room temperature. The properties of air at room temperature are $c_p=$

$1\mathrm{.}005k\frac{J}{k}g*K$ and $k=1\mathrm{.}4.$

The net work produced per unit mass of air is $,k\frac{J}{k}g.$

The thermal efficiency is

$\%.$