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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
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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.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:
Transcribed Image Text:.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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