Question

Please include the additional analysis at the bottom

The gas turbine engine sketched below operates as a power cycle. Hot combustion gases, modeled as air, enter the turbine at 10 bar and 1500 K at a mass flow rate of 0.1 kg/s. The gases exit the turbine with a volumetric flow rate (AV 0.125 m'/s and a temperature of 900 K. The turbine loses 12 kW of heat to the surroundings. a. Starting from a mass balance determine the pressure at the exit of the turbine. State your assumptions clearly. (10 points) b. Starting from the general form of the energy balance and an appropriate control volume for this system determine the power produced for the turbine. Assume the gases have constant specific heats, c, 1.14 kJ/kg-K and c 0.85 kJ/kg K. State your assumptions clearly (10 points) c. The cycle for the aggregate system has a thermal efficiency of 25%, and 60% of the power produced by the turbine is used to run the compressor. How much heat input is needed to operate this cycle? (5 points) Additional analysis: How does the heat input calculated above compare to the minimum heat input required for the cycle? You may assume that T, 1500 K and T 300 K.

Answer 1