Answered: The figure below provides steady-state…

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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The figure below provides steady-state operating data for a cogeneration cycle that generates electricity and provides heat for campus buildings. Steam at 1.5 MPa, 280°C, enters a two-stage turbine with a mass flow rate of m1 = 2 kg/s. A fraction of the total flow, y = 0.15, is extracted between the two stages at 0.2 MPa to provide for building heating, and the remainder expands through the second stage to the condenser pressure of 0.1 bar. Condensate returns from the campus buildings at 0.1 MPa, 60°C and passes through a trap into the condenser, where it is reunited with the main feedwater flow. Saturated liquid leaves the condenser at 0.1 bar.

Pi = 1.5 MPa
T = 280°C
Turbine
Boiler
Ja-»
P2 = 0.2 MPa
1 – y)
P3 =0.1 bar
(1)
Trap
7
Condenser
P6 = 0.1 MPa
T= 60°C
Pump
5
P4 =P3 = 0.1 bar
X4 =0 (saturated liquid)

State
T (°C) h (kJ/kg)
1
1.5 MPa
280
2992
0.2 MPa
sat
2652
3
0.1 bar
sat
2280
4
0.1 bar
sat
191.8
1.5 MPa
193.3
0.1 MPa
60
251.6
7
0.1 bar
251.6
Determine:
(a) the rate of heat transfer to the working fluid passing through the boiler, in kW.
(b) the net power developed, in kW.
(c) the magnitude of the rate of heat transfer for building heating, in kW.
(d) the magnitude of the rate of heat transfer to the cooling water passing through the condenser, in kW.

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