Consider a cogeneration plant that uses an ideal Rankine cycle to generate power and steam for process heating, as shown in the figure. The plant provides 4.5 MW of net power output and 5.8 MW of process heating. Steam is supplied to the inlet of the two- stage turbine at 10 MPa and 440°C. A portion of the steam is extracted after exiting the high pressure turbine at 0.5 MPa and is used to meet the process heating load. The steam leaves the process heater as a saturated liquid and mixes with the water leaving the low-pressure pump. Saturated liquid water enters the low-pressure pump at 20 kPa.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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b) 3.02

C) 4500 

D) 55

F) 10244

can I get some help with efficiency recalculation 

Repeat the analysis entropic efficiency of 84% and each pump operates with an isentropic efficiency of 78%. Provide a table comparing the results of this analysis to those from Problem4 and comment on the effect of a non‐ideal cycle.

Consider a cogeneration plant that uses an ideal Rankine cycle to generate power and
steam for process heating, as shown in the figure. The plant provides 4.5 MW of net
power output and 5.8 MW of process heating. Steam is supplied to the inlet of the two-
stage turbine at 10 MPa and 440°C. A portion of the steam is extracted after exiting the
high pressure turbine at 0.5 MPa and is used to meet the process heating load. The
steam leaves the process heater as a saturated liquid and mixes with the water leaving
the low-pressure pump. Saturated liquid water enters the low-pressure pump at
20 kPa.
a. Sketch this cycle on a T-s diagram.
b. Determine the mass flow rate of water extracted for process heating, in kg/s.
c. Determine the power developed by the turbines, in kW.
d. Determine the power input to the pumps, in kw.
e. Determine the rate of heat transfer to the water in the steam generator, in kW.
f. Determine the net power output of the system, in kW.
el
––Cooling tower
To cooling tower
Condensate
Steam
Condensate
Repeat the analysis of the cogeneration system from Problem 4 if each turbine stage
operates with an isentropic efficiency of 84% and each pump operates with an
isentropic efficiency of 78%. Provide a table comparing the results of this analysis to
those from Problem 4 and comment on the effect of a non-ideal cycle.
Transcribed Image Text:Consider a cogeneration plant that uses an ideal Rankine cycle to generate power and steam for process heating, as shown in the figure. The plant provides 4.5 MW of net power output and 5.8 MW of process heating. Steam is supplied to the inlet of the two- stage turbine at 10 MPa and 440°C. A portion of the steam is extracted after exiting the high pressure turbine at 0.5 MPa and is used to meet the process heating load. The steam leaves the process heater as a saturated liquid and mixes with the water leaving the low-pressure pump. Saturated liquid water enters the low-pressure pump at 20 kPa. a. Sketch this cycle on a T-s diagram. b. Determine the mass flow rate of water extracted for process heating, in kg/s. c. Determine the power developed by the turbines, in kW. d. Determine the power input to the pumps, in kw. e. Determine the rate of heat transfer to the water in the steam generator, in kW. f. Determine the net power output of the system, in kW. el ––Cooling tower To cooling tower Condensate Steam Condensate Repeat the analysis of the cogeneration system from Problem 4 if each turbine stage operates with an isentropic efficiency of 84% and each pump operates with an isentropic efficiency of 78%. Provide a table comparing the results of this analysis to those from Problem 4 and comment on the effect of a non-ideal cycle.
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