having trouble understanding how to calculated it using power output. Consider a cogeneration plant that uses an ideal Rankine cycle to generate power andsteam for process heating, as shown in the figure. The plant provides 4.5 MW of netpower 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 thehigh pressure turbine at 0.5 MPa and is used to meet the process heating load. Thesteam leaves the process heater as a saturated liquid and mixes with the water leavingthe low-pressure pump. Saturated liquid water enters the low-pressure pump at20 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 towerTo cooling towerCondensateSteamCondensatewwww Repeat the analysis of the cogeneration system from Problem 4 if each turbine stageoperates with an isentropic efficiency of 84% and each pump operates with anisentropic efficiency of 78%. Provide a table comparing the results of this analysis tothose from Problem 4 and comment on the effect of a non-ideal cycle.

Answered: Consider a cogeneration plant that uses…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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having trouble understanding how to calculated it using power output.

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
ww
ww

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.

Expert Solution

Step 1

The student has posted multiple questions. But as per the guideline, I can solve only first three sub-parts of first question. For rest question please re-post in a separate post.

Given data,

Net power output of the plant, P_net = 4.5 MW

Process heating = 5.8 MW

Inlet condition of the steam to the turbine is 10 MPa and 440 $° C$

Pressure of process heating = 0.5 MPa

Pressure of the condenser = 20 KPa

To determine:-

a) T-s diagram of the above cycle

b) Mass flow rate of steam extracted for process heating

c) Power developed by the turbine

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