# HW19s - Spring 2006 Thermodynamics Homework 19 Solution 1...

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Spring 2006 1 ME 201 Thermodynamics Homework 19 Solution 1. Consider a steam power plant operating on a Rankine cycle with reheat as shown below. Steam leaves the boiler at 20 MPa and 700 ° C. The first turbine exhausts to 0.4 MPa and the steam is then reheated in the boiler to 600 ° C. The second turbine exhausts to 0.004 MPa. Determine a. thermal efficiency of the plant b. mass flow rate of steam leaving the boiler required to produce 50 MW of power Solution: We begin by nodding our block diagram Boiler Turb #1 Turb #2 Condenser Pump Reheat Leg 2 4 6 3 5 1

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ME 201 Thermodynamics Spring 2006 2 Next we set up our table. Node T( ° C) P(MPa) phase h(kJ/kg) s(kJ/kg K) 1 700 20 sup.vap. 3807.8 6.7991 2 143.63 0.4 two phase x = 0.981 2698 6.7991 3 600 0.4 sup.vap. 3703.3 8.4580 4 28.96 0.004 two phase x = 0.998 2549 8.4580 5 28.96 0.004 sat.liq. 121.39 0.4224 6 29.56 20 sub.liq. 142.06 0.4224 Italicized values are from steam tables. Bold values are calculated.
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HW19s - Spring 2006 Thermodynamics Homework 19 Solution 1...

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