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...


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

Extracted 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

Jun 11, 2022
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