The refrigerator (R) shown in Fig F3.1i! is a closed syster: thet oper- ates in cycles while in communication with the cold space (T) and the building (TB). The refrigeration load (QL) reaches the cold space by leak- ing from T, to T across the thermal insulation system (I), which is a closed system operating steadily. If the work required by the refrigera- tor is WR, what is the net heat transferred by systems (R) and (I) to the building (TB)? The net heat transferred by (R) and (I) to the building (QB) is removed by a heat pump (HP) that functions cyclically as a closed system. The heat pump requires the work WHp and rejects heat to the ambient of temperature T, which is warmer than the building. Together, the closed systems (R), (I), (B), and (HP) perform the function of removing the refrigeration load Q by rejecting heat to the ambient T- Ta (В) QB TB (HP) EWHP WR (R) (1) TL

The refrigerator (R) shown in Fig F3.1i! is a closed syster: thet oper- ates in cycles while in communication with the cold space (T) and the building (TB). The refrigeration load (QL) reaches the cold space by leak- ing from T, to T across the thermal insulation system (I), which is a closed system operating steadily. If the work required by the refrigera- tor is WR, what is the net heat transferred by systems (R) and (I) to the building (TB)? The net heat transferred by (R) and (I) to the building (QB) is removed by a heat pump (HP) that functions cyclically as a closed system. The heat pump requires the work WHp and rejects heat to the ambient of temperature T, which is warmer than the building. Together, the closed systems (R), (I), (B), and (HP) perform the function of removing the refrigeration load Q by rejecting heat to the ambient T- Ta (В) QB TB (HP) EWHP WR (R) (1) TL

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

.11 The refrigerator (R) shown in Fig. F3.i! is a closed syster: thet oper-
ates in cycles while in communication with the cold space (T;) and the
building (T). The refrigeration load (QL) reaches the cold space by leak-
ing from T to T across the thermal insulation system (I), which is a
closed system operating steadily. If the work required by the refrigera-
tor is WR, what is the net heat transferred by systems (R) and (I) to the
building (Tg)?
The net heat transferred by (R) and (I) to the building (QR) is
removed by a heat pump (HP) that functions cyclically as a closed
system. The heat pump requires the work WHp and rejects heat to the
ambient of temperature T, which is warmer than the building. Together,
the closed systems (R), (I), (B), and (HP) perform the function of
removing the refrigeration load Q, by rejecting heat to the ambient T.
T
(В)
Тв
(HP)
E WHP
WR
(R)
(I)
TL
Te,
Figure P3.11
38
ENTROPY GENERATION, OR EXERGY DESTRUCTION
The total work requirement is WR + WHP, and the overall coefficient of
performance is
СОР %3
WR + WHP
Write the formulas for the coefficients of performance of the refriger-
ator (COPR) and the heat pump (COPHP) and determine the relationship
COP = function(COPR, COPHP).
Consider the limit where (R) and (HP) operate reversibly, express
COPR and COPHP in terms of (TB, T) and (Ta, TB), respectively, and
finally express the overall COP as COP ey = function(T, Tg, TL). On
a summer day, the following temperatures are measured: T = 310 K,
TR = 300 K, and T, = 275 K. Calculate COPrey:

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