(Solved): A simple ideal Brayton cycle operates with air with minimum and maximum temperatures of 27C and ...

A simple ideal Brayton cycle operates with air with minimum and maximum temperatures of $$27^{?}\mathrm{C}$$ and $$727^{?}\mathrm{C}$$. It is designed so that the maximum cycle pressure is $$2000\mathrm{kPa}$$ and the minimum cycle pressure is $$100\mathrm{kPa}$$. The isentropic efficiency of the turbine is 76 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 $$c_p=1.005\mathrm{kJ}/\mathrm{kg}?\mathrm{K}$$ and $$k=1.4$$. The net work produced per unit mass of air is $$\mathrm{kJ}/\mathrm{kg}$$. The thermal efficiency is $$\%$$