FUND OF ENG THERMODYN(LLF)+WILEYPLUS
9th Edition
ISBN: 9781119391777
Author: MORAN
Publisher: WILEY
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7.66 Referring to the discussion of Sec. Z.6.2 as required, evaluate the exergetic efficiency for each of the following cases,
assuming steady-state operation with negligible effects of heat transfer with the surroundings:
a. Turbine: Wer 1200 hp, e 250 Btu//lb, eg = 15 Btu/lb, m 240 lb/min.
b. Compressor: Wev/m=-105 kJ /kg, e = 5 kJ/kg, eg = 90 kJ/kg, m 2 kg /s.
c. Counterflow heat exchanger: mh = 3 kg/s, me 10 kg /s, ef = 2100 kJ/kg, e = 300 kJ/kg, É = 3.4 MW
10 lb /s, m3 15 b /s, en = 1000 Btu/Ib, eg = 50 Btu/Ib, eg = 400 Btu/lb
d. Direct contact heat exchanger: m1
A system undergoes a refrigeration cycle while receiving Qc by heat transfer at temperature Tc and
discharging energy Qu by heat transfer at a higher temperature TH. There are no other heat transfers.
(a) Using energy and exergy balances, show that the net work input to the cycle cannot be zero.
(b) Show that the coefficient of performance of the cycle can be expressed as:
Tc
TH – TeA'¯ T(Qn – Q).
B =
where E, is the exergy destruction and To is the temperature of the exergy reference environment.
(c) Using the result of part (b), obtain an expression for the maximum theoretical value for the coefficient of
performance.
7.27 Figure P7.27 provides steady-state data for the outer wall of a dwelling on a day
when the indoor temperature is maintained at 25°C and the outdoor temperature is
35°C. The heat transfer rate through the wall is 1000 W. Determine, in W, the rate of
exergy destruction (a) within the wall, and (b) within the enlarged system shown on the
figure by the dashed line. Comment. Let T₂ = 35°C. 20.13, 33-56
Indoor
Boundary of
enlarged-
temperature=25°C
T=27C
T-3C
FIGURE PLAT
Outdoor
temperature=35°C
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