A gas$-$turbine power plant operates on the simple Brayton cycle between the pressure limits of $100$ and $1600$ kPa. The working fluid is air, which enters the compressor at $40\backslash$deg C at a rate of $800$ m$3/$min

and leaves the turbine at $650\backslash$deg C$.$ Assume a compressor isentropic efficiency of $85$ percent and a turbine isentropic efficiency of $88$ percent. Use constant specific heats with cv $=0\mathrm{.}821$ kJ$/$ kg$$K$,$ cp $=1\mathrm{.}108$ kJ$/$kg$$K$,$

and k $=1\mathrm{.}35$