A combined cycle power plant uses mercury (Hg) for the high-temperature cycle (topping cycle shown in blue) and water (or steam) for the lower-temperature cycle (bottoming cycle shown in red), as in Fig. Q 2(a), where the temperatures and pressures are shown. The maximum temperature in the steam cycle (bottoming cycle) is where the steam leaves the superheater at state point 4 where it is 500°C. The mercury is dry saturated vapour at the inlet of mercury turbine. Sketch the schematic diagram again. Draw the cycle on T-s diagram by noting the corresponding state points designated by 1, 2,. and a, b,. on the schematic diagram. (Hint: Overlap both T-s diagrams on each other by considering the temperatures, not the pressures.) List all the assumptions before your analysis. Assume the mercury feed pump work input is very small. Determine: (a) the ratio of the mass flow rate of mercury to the mass flow rate of water in the heat exchanger that condenses mer- cury and boils the water, and (b) the thermal efficiency of this combined ideal cycle. The following Table Q 2 shows the saturation properties for mercury (Hg):

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
Question

q2

A combined cycle power plant uses mercury (Hg) for the high-temperature cycle (topping
cycle shown in blue) and water (or steam) for the lower-temperature cycle (bottoming
cycle shown in red), as in Fig. Q 2(a), where the temperatures and pressures are shown.
The maximum temperature in the steam cycle (bottoming cycle) is where the steam leaves
the superheater at state point 4 where it is 500°C. The mercury is dry saturated vapour at
the inlet of mercury turbine. Sketch the schematic diagram again. Draw the cycle on T-s
diagram by noting the corresponding state points designated by 1, 2,.. and a, b,.. on the
schematic diagram. (Hint: Overlap both T-s diagrams on each other by considering the
temperatures, not the pressures.) List all the assumptions before your analysis. Assume
the mercury feed pump work input is very small. Determine: (a) the ratio of the mass flow
rate of mercury to the mass flow rate of water in the heat exchanger that condenses mer-
cury and boils the water, and (b) the thermal efficiency of this combined ideal cycle.
The following Table Q 2 shows the saturation properties for mercury (Hg):
Table Q 2
Tg
hf
Sf
Sg
kJ/(kg-K)
0.6073
MPa
°C
kJ/kg
kJ/kg
kJ/(kg-K)
0.04
309
42.21
335.64
0.1034
1.60
562
75.37
364.04
0.1498
0.4954
H,O
H,0
260°C; 4.688 MPa
Steam
turbine
562°C; 1.6 MPa
Wnet.ST
Hg
W.
Mercury
turbine
net.MT
10 kPa 5
Condenser
Mercury condenser
and steam boiler
10 kPa
1
a
309°C; 0.04 MPa
Hg
Pump
Pump
b.
Fig. Q 2 (a): Schematic diagram of the
combined Hg-H,0 cycle.
Steam superheater
and mercury boiler
www
www
Transcribed Image Text:A combined cycle power plant uses mercury (Hg) for the high-temperature cycle (topping cycle shown in blue) and water (or steam) for the lower-temperature cycle (bottoming cycle shown in red), as in Fig. Q 2(a), where the temperatures and pressures are shown. The maximum temperature in the steam cycle (bottoming cycle) is where the steam leaves the superheater at state point 4 where it is 500°C. The mercury is dry saturated vapour at the inlet of mercury turbine. Sketch the schematic diagram again. Draw the cycle on T-s diagram by noting the corresponding state points designated by 1, 2,.. and a, b,.. on the schematic diagram. (Hint: Overlap both T-s diagrams on each other by considering the temperatures, not the pressures.) List all the assumptions before your analysis. Assume the mercury feed pump work input is very small. Determine: (a) the ratio of the mass flow rate of mercury to the mass flow rate of water in the heat exchanger that condenses mer- cury and boils the water, and (b) the thermal efficiency of this combined ideal cycle. The following Table Q 2 shows the saturation properties for mercury (Hg): Table Q 2 Tg hf Sf Sg kJ/(kg-K) 0.6073 MPa °C kJ/kg kJ/kg kJ/(kg-K) 0.04 309 42.21 335.64 0.1034 1.60 562 75.37 364.04 0.1498 0.4954 H,O H,0 260°C; 4.688 MPa Steam turbine 562°C; 1.6 MPa Wnet.ST Hg W. Mercury turbine net.MT 10 kPa 5 Condenser Mercury condenser and steam boiler 10 kPa 1 a 309°C; 0.04 MPa Hg Pump Pump b. Fig. Q 2 (a): Schematic diagram of the combined Hg-H,0 cycle. Steam superheater and mercury boiler www www
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