tem undergoes a refrigeration cycle while receiving Qc by heat tr harging energy QH by heat transfer at a higher temperature TH. There are Jsing energy and exergy balances, show that the net work input to the cy Show that the coefficient of performance of the cycle can be expressed a Te B = \TH – Tc) T(Qn – Qc),

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.
Transcribed Image Text: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.
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