The power plant shown in the figure combines a Brayton cycle (gas turbine cycle) and a Rankine cycle (steam turbine cycl

[answerhappygod]

The Power Plant Shown In The Figure Combines A Brayton Cycle Gas Turbine Cycle And A Rankine Cycle Steam Turbine Cycl 1 (153.61 KiB) Viewed 19 times

The power plant shown in the figure combines a Brayton cycle (gas turbine cycle) and a Rankine cycle (steam turbine cycle). The following data are known for the Brayton cycle: air enters the compressor at 100 kPa, 20 °C, the compressor pressure ratio is 15, and the heater input rate is 50 MW; the turbine inlet temperature is 1200 °C and the exhaust pressure is 100 kPa; the cycle exhaust temperature from the heat exchanger is 250 °C. The following data are known for the Rankine cycle: The pump inlet state is saturated liquid (water) at 10 kPa and the pump exit pressure is 10 MPa; the turbine inlet temperature is 500 °C. All components are ideal. Assuming air to be an ideal gas with constant specific heat (C₁/C₂ 1.4), determine, a) (6 points) the mass flow rate of air in the Brayton gas turbine cycle b) (7 points) the mass flow rate of water in the Rankine steam turbine cycle c) (7 points) the overall thermal efficiency of the combined cycle. (Hint: overall thermal efficiency is defined as WGT+WST) QH QH = 50 MW P3= P2 2 -ⒸT₂=1200 °C P₁=100 kPa 0 T₁-20 °C W Gas turbine P₂/P₁=15 T₁=500 °C P1 = P6 Steam turbine Ⓡ P8=Pg Compressor T₁=250 °C 6 Ps= P4 P6= 10 MPa - Heater Brayton gas turbine cycle www Rankine steam cycle Condenser Wpump Pg= 10 kPa Jocond - GT -4 P₁=100 kPa WST