In this task, you should base your work on a Rankine cycle with water/steam as the working medium.
State 1 (into pump/out of condenser): saturated liquid at 30 kPa
h1=hf (30 kPa) = 289.27 kJ/kg
State 2 (out of pump/into boiler): subcooled liquid at 5 MPa
h2 = 294.35 kJ/kg
State 3 (out of boiler/into turbine): superheated steam at 5 MPa, 600°C
h3 = h(5 MPa, 600°C) = 3666.9 kJ/kg
State 4 (out of turbine/into condenser): saturated steam at 30 kPa
h4 = hg (30 kPa) = 2624.6 kJ/kg
The heat added in the boiler was calculated to be Qin,boiler = 16863 kW. The mass flow rate of the working fluid remains 5 kg/s. The pump in this cycle is isentropic (pump power is 25.4 kW), while the turbine is non-isentropic. The temperature of the heat source for the boiler is 1000°C (constant). The condenser transfers waste heat to the surroundings at 15°C and 100 kPa.
a) Calculate the power output from the steam turbine (in kW or MW).
b) Calculate the isentropic efficiency of the turbine.
c) Calculate the second-law efficiency of the turbine.
d) Calculate the exergy destruction rate in the boiler in kW or MW.
e) Calculate the second-law efficiency of the entire system.
f) Draw a T-s diagram of the cycle. Show the states and the process curve relative to the saturation curve. Also, draw lines for constant pressure passing through the four relevant states.
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