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$10-92$ A gas$-$turbine power plant operates on the simple Brayton cycle with air as the working fluid and delivers $32$ MW of power. The minimum and maximum temperatures in the cycle are $310$ and $900$ K $,$ and the pressure of air at the compressor exit is $8$ times the value at the compressor inlet. Assuming an isentropic efficiency of $80$ percent for the compressor and $86$ percent for the turbine, determine the mass flow rate of air through the cycle. Account for the variation of specific heats with temperature.