Consider a cogeneration system operating as shown on the right Steam enters the first turbine stage at 6 MPa, 540°C. Between the first and second stages, 45% of the steam is extracted at 500 kPa and diverted to a process heating load of 5 × 108 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. 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.
Consider a cogeneration system operating as shown on the right Steam enters the first turbine stage at 6 MPa, 540°C. Between the first and second stages, 45% of the steam is extracted at 500 kPa and diverted to a process heating load of 5 × 108 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. 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
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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Question
Consider a cogeneration system
operating as shown on the right Steam
enters the first turbine stage at 6 MPa,
540°C. Between the first and second
stages, 45% of the steam is extracted at 500
kPa and diverted to a process heating load
of 5 × 108 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. 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.
operating as shown on the right Steam
enters the first turbine stage at 6 MPa,
540°C. Between the first and second
stages, 45% of the steam is extracted at 500
kPa and diverted to a process heating load
of 5 × 108 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. 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.
Transcribed Image Text:Steam
generator
7
P₁ = P₁ = 6 MPa
h = 469.91 kJ/kg
-fas
77p2 = 88%
Pump 2
W
p2
(1)
P₁ = 6 MPa
T₁ = 540°C
1
P6=P5=450 kPa
6
5
Pump 1
W
pl
Turbine
P2 = 500 kPa
(1-y)
7pl = 88%
Heat
exchanger
P8 = 450 kPa
8 hg 589.13 kJ/kg
(1-y)
2
minn
77t = 82%
1-y)
3
P3 = 60 kPa
Condenser
lout
4
P4=P3= 60 kPa
X4 = 0 (saturated liquid)
process = 5 x 108 kJ/h
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