Consider a cogeneration system operating as shown in the figure below. Steam enters the first turbine stage at 6 MPa, 540°C. Between the first and second stages, y = 40% of the steam is extracted at 500 kPa and diverted to a process heating load of Oprocess 5x 108 kJ/h. Condensate exits the process heat exchanger at 450 kPa with specific enthalpy of 589.13 kJ/kg and is r with liquid exiting the lower-pressure pump at 450 kPa. The entire flow is then pumped to the steam generator pressure. At the to the steam generator the specific enthalpy is 469.91 kJ/kg. Saturated liquid at 60 kPa leaves the condenser. The turbine stages the pumps operate with isentropic efficiencies of 82% and 88%, respectively. (1-y) Pı = 6 MPa T = 540°C Turbine Steam M = 82% (1) generator W. P2 = 500 kPa (y) (1–y) 7. P3 = 60 kPa |(1) P7 = P = 6 MPa h7 = 469.91 kJ/kg v Qout Condenser Pump 2 P6 = Ps = 450 kPa Pump 1 (1 – y) 4 P4 = P3 = 60 kPa X =0 (saturated liquid) 6. 7p2 = 88% 7p1 = 88% Heat exchanger Pg = 450 kPa 8 h = 589.13 kJ/kg Determine: (a) the mass flow rate of steam entering the first turbine stage, in kg/s. (b) the net power developed by the cycle, in MW. (c) the rate of entropy production in the turbine, in kW/K.

Elements Of Electromagnetics
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Consider a cogeneration system operating as shown in the figure below. Steam enters the first turbine stage at 6 MPa, 540°C.
Between the first and second stages, y = 40% of the steam is extracted at 500 kPa and diverted to a process heating load of
Oprocess
= 5x 10° kJ/h. Condensate exits the process heat exchanger at 450 kPa with specific enthalpy of 589.13 kJ/kg and is mixed
with liquid exiting the lower-pressure pump at 450 kPa. The entire flow is then pumped to the steam generator pressure. At the inlet
to the steam generator the specific enthalpy is 469.91 kJ/kg. Saturated liquid at 60 kPa leaves the condenser. The turbine stages and
the pumps operate with isentropic efficiencies of 82% and 88%, respectively.
P1 = 6 MPa
T = 540°C
Turbine
Steam
7 = 82%
generator
P2 = 500 kPa
(у)
(1-у)
7
3
P3 = 60 kPa
P7 = P1 = 6 MPa
h7 = 469.91 kJ/kg
V Qout
Condenser
Pump 2
P6 =P5 = 450 kPa
Pump 1
(1- у)
P4 = P3 = 60 kPa
X4 = 0 (saturated liquid)
6
5
7p2 = 88%
7pl = 88%
W.
p2
PI
Heat
Oproces
exchanger
Pg = 450 kPa
8 hg = 589.13 kJ/kg
Determine:
(a) the mass flow rate of steam entering the first turbine stage, in kg/s.
(b) the net power developed by the cycle, in MW.
(c) the rate of entropy production in the turbine, in kW/K.
wwww
Transcribed Image Text:Consider a cogeneration system operating as shown in the figure below. Steam enters the first turbine stage at 6 MPa, 540°C. Between the first and second stages, y = 40% of the steam is extracted at 500 kPa and diverted to a process heating load of Oprocess = 5x 10° kJ/h. Condensate exits the process heat exchanger at 450 kPa with specific enthalpy of 589.13 kJ/kg and is mixed with liquid exiting the lower-pressure pump at 450 kPa. The entire flow is then pumped to the steam generator pressure. At the inlet to the steam generator the specific enthalpy is 469.91 kJ/kg. Saturated liquid at 60 kPa leaves the condenser. The turbine stages and the pumps operate with isentropic efficiencies of 82% and 88%, respectively. P1 = 6 MPa T = 540°C Turbine Steam 7 = 82% generator P2 = 500 kPa (у) (1-у) 7 3 P3 = 60 kPa P7 = P1 = 6 MPa h7 = 469.91 kJ/kg V Qout Condenser Pump 2 P6 =P5 = 450 kPa Pump 1 (1- у) P4 = P3 = 60 kPa X4 = 0 (saturated liquid) 6 5 7p2 = 88% 7pl = 88% W. p2 PI Heat Oproces exchanger Pg = 450 kPa 8 hg = 589.13 kJ/kg Determine: (a) the mass flow rate of steam entering the first turbine stage, in kg/s. (b) the net power developed by the cycle, in MW. (c) the rate of entropy production in the turbine, in kW/K. wwww
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