2. At a particular location in the ocean, the temperature near the surface is 30°C, and the temperature at a depth of 500 m is 7.5°C. A power plant, is built based on Rankine cycle using ammonia as the working fluid, has been proposed to utilize this naturally occurring temperature gradient to produce electrical power. The power to be developed by the turbine specific heat of seawater to be a constant at 4.18 kJ/kg°C. The following conditions in the Rankine cycle are given: 240 MW. For simplicity purpose, assume the State 1: Saturated vapour of ammonia at 24°C State 2: Saturated liquid-vapour mixture of ammonia at 10°C State 3: Saturated liquid of ammonia at 10°C State 4: Compressed liquid of ammonia (same pressure as State 1) (a) Draw a T- s diagram for the Rankine cycle with state points legibly marked on it. (b) Calculate the thermal efficiency of the proposed cycle. (c) Calculate the net power output of the plant in MW, if the pumps (pump A and pump B) used to circulate seawater through the evaporator and condenser heat exchangers require a total power input of 75 MW. (d) Determine the seawater flow rates through the boiler and condenser, in kg/s. Specific Volume m³/kg Internal Energy kJ/kg Enthalpy kJ/kg Entropy kJ/kgK Temp. °C Press. Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat. bar Liquid Liquid Vr x 103 Vapor Vapor Liquid he Vapor hg Liquid Vapor Uf vg Ug Sg Js 8 5.7395 1.5936 0.2195 216.42 1323.96 217.34 1449.94 0.8438 5.2279 10 6.1529 1.6008 0.2054 225.77 1325.42 226.75 1451.78 0.8769 5.2033 12 6.5890 1.6081 0.1923 235.14 1326.82 236.20 1453.55 0.9099 5.1791 16 7.5324 1.6231 0.1691 253.95 1329.48 255.18 1456.87 0.9755 5.1314 20 8.5762 1.6386 0.1492 272.86 1331.94 274.26 1459.90 1.0404 5.0849 24 9.7274 1.6547 0.1320 291.84 1334.19 293.45 1462.61 1.1048 5.0394 28 10.993 1.6714 0.1172 310.92 1336.20 312.75 1465.00 1.1686 4.9948
2. At a particular location in the ocean, the temperature near the surface is 30°C, and the temperature at a depth of 500 m is 7.5°C. A power plant, is built based on Rankine cycle using ammonia as the working fluid, has been proposed to utilize this naturally occurring temperature gradient to produce electrical power. The power to be developed by the turbine specific heat of seawater to be a constant at 4.18 kJ/kg°C. The following conditions in the Rankine cycle are given: 240 MW. For simplicity purpose, assume the State 1: Saturated vapour of ammonia at 24°C State 2: Saturated liquid-vapour mixture of ammonia at 10°C State 3: Saturated liquid of ammonia at 10°C State 4: Compressed liquid of ammonia (same pressure as State 1) (a) Draw a T- s diagram for the Rankine cycle with state points legibly marked on it. (b) Calculate the thermal efficiency of the proposed cycle. (c) Calculate the net power output of the plant in MW, if the pumps (pump A and pump B) used to circulate seawater through the evaporator and condenser heat exchangers require a total power input of 75 MW. (d) Determine the seawater flow rates through the boiler and condenser, in kg/s. Specific Volume m³/kg Internal Energy kJ/kg Enthalpy kJ/kg Entropy kJ/kgK Temp. °C Press. Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat. bar Liquid Liquid Vr x 103 Vapor Vapor Liquid he Vapor hg Liquid Vapor Uf vg Ug Sg Js 8 5.7395 1.5936 0.2195 216.42 1323.96 217.34 1449.94 0.8438 5.2279 10 6.1529 1.6008 0.2054 225.77 1325.42 226.75 1451.78 0.8769 5.2033 12 6.5890 1.6081 0.1923 235.14 1326.82 236.20 1453.55 0.9099 5.1791 16 7.5324 1.6231 0.1691 253.95 1329.48 255.18 1456.87 0.9755 5.1314 20 8.5762 1.6386 0.1492 272.86 1331.94 274.26 1459.90 1.0404 5.0849 24 9.7274 1.6547 0.1320 291.84 1334.19 293.45 1462.61 1.1048 5.0394 28 10.993 1.6714 0.1172 310.92 1336.20 312.75 1465.00 1.1686 4.9948
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
Related questions
Question
Transcribed Image Text:Seawater out
Seawater
(28.5°C)
in (30°C)
Seawater
Circulation pump
("boiler")
4
Heat exchanger at
ocean surface
Pump
Turbine
work
work
240 MW
Heat exchanger at a
depth of 500m
(condenser)
Seawater
Circulation pump
Seawater
Seawater out
in (7.5°C)
(8.5°C)
Transcribed Image Text:2.
At a particular location in the ocean, the temperature near
the surface is 30°C, and the temperature at a depth of 500 m is 7.5°C. A power plant, is
built based on Rankine cycle using ammonia as the working fluid, has been proposed to
utilize this naturally occurring temperature gradient to produce electrical power. The
power to be developed by the turbine is 240 MW. For simplicity purpose, assume the
specific heat of seawater to be a constant at 4.18 kJ/kg°C. The following conditions in
the Rankine cycle are given:
State 1: Saturated vapour of ammonia at 24°C
State 2: Saturated liquid-vapour mixture of ammonia at 10°C
State 3: Saturated liquid of ammonia at 10°C
State 4: Compressed liquid of ammonia (same pressure as State 1)
(a) Draw a T- s diagram for the Rankine cycle with state points legibly marked on it.
(b) Calculate the thermal efficiency of the proposed cycle.
(c) Calculate the net power output of the plant in MW, if the pumps (pump A and pump
B) used to circulate seawater through the evaporator and condenser heat exchangers
require a total power input of 75 MW.
(d) Determine the seawater flow rates through the boiler and condenser, in kg/s.
Specific Volume
m/kg
Internal Energy
kJ/kg
Sat.
Enthalpy
kJ/kg
Entropy
kJ/kgK
Temp.
°C
Press.
Sat.
Sat.
Sat.
Sat.
Sat.
Sat.
Sat.
bar
Liquid
Liquid
Liquid
Vf x 103
Vapor
vg
Vapor
Liquid
he
Vapor
hg
Vapor
Uf
Ug
Sf
Sg
8
5.7395
1.5936
0.2195
216.42
1323.96
217.34
1449.94
0.8438
5.2279
1.6008
1.6081
10
6.1529
0.2054
225.77
1325.42
226.75
1451.78
0.8769
5.2033
1326.82
1329.48
12
6.5890
0.1923
235.14
236.20
1453.55
0.9099
5.1791
16
7.5324
1.6231
0.1691
253.95
255.18
1456.87
0.9755
5.1314
20
8.5762
1.6386
0.1492
272.86
1331.94
274.26
1459.90
1.0404
5.0849
24
9.7274
1.6547
0.1320
291.84
1334.19
293.45
1462.61
1.1048
5.0394
28
10.993
1.6714
0.1172
310.92
1336.20
312.75
1465.00
1.1686
4.9948
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