A Brayton cycle has air entering the compressor at 100 kPa and 25°C. The air exits the compressor at a pressure of 1100 kPa. The “air” (in reality combustion products, but model the products as air for the Brayton cycle) enters the turbine at a temperature of 1400 K. The power produced by the cycle is 50 MW. Consider the air to have variable specific heats. The heat is provided through the combustion of octane (C8H18) with air, the air is supplied from a portion of the air exiting the compressor, and the reactant mixture is at a stoichiometric mixture. The fuel enters at 298 K and burns to completion. The product temperature is 1400 K. Determine the mass flow rate of octane needed for the process, and the fraction of air exiting the compressor needed for the combustion process for (a) an isentropic turbine and compressor, and (b) an isentropic turbine efficiency of 0.75 and an isentropic compressor efficiency of 0.75.
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