103102_rec8

# 103102_rec8 - 16.050 Thermal Energy Recitation#8 Fall 2002...

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16.050 Thermal Energy Recitation #8 – Fall 2002 Problem 1: Please refer to the figure drawn on the board. A power plant operates on a Brayton Cycle with air as the working fluid. The Brayton cycle consists of a compressor, a combustor, and two turbines (the first drives the compressor and the second provides net power output). The exhaust gases from the second turbine flow into a heat exchanger and are used to heat steam that flows into a third turbine (assume that this turbine also provides net power output). Assume that no other heat inputs occur to the steam. You may assume that the air behaves as a perfect gas with cp=1 kJ/kgK. Neglect kinetic energies, pressure drops, and heat transfer to the surroundings (except in combustor). T 1 =300 K, P 1 = 1bar P 2 =8 bar T 3 =1300 K T 6 =450 K, P 6 =1 bar Saturated liquid at state 7 Saturated vapor into steam turbine, P 8 =7 MPa X 9 =0.75, P 9 =5 kPa Adiabatic efficiency, compressor=0.8 Adiabatic efficiency of Brayton turbines=0.85 @P=5 kPa, h

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103102_rec8 - 16.050 Thermal Energy Recitation#8 Fall 2002...

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