The thermal efficiency of a refrigerator is determined by the coefficient of performance COP, which is defined as the ratio of the amount of heat removed to the input of mechanical work needed for operation, or

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
B3
The thermal efficiency of a refrigerator is
determined by the coefficient of performance
COP, which is defined as the ratio of the amount
of heat removed to the input of mechanical work
needed for operation, or
Qout
COP = Win
СОР.
%3D
Part A
An air conditioner operates exactly as a refrigerator; it removes heat from a cold place (a bedroom, for example) and
conveys it to a warmer place (usually the outside). Quantities of practical importance in understanding the efficiency of air
conditioners are the rate of heat removal and the electric power input to the unit (i.e., the electric energy consumed per unit
time). Find an expression for the coefficient of performance COP of an air conditioner that has a rate of heat removal H
and a power consumption P.
Express your answer in terms of H and P.
• View Available Hint(s)
?
COP =
Submit
For most commercial air conditioner systems, the performance of the refrigerator unit is rated according to a quantity called
the energy efficiency rating or EER. The EER of an air conditioner is defined as the ratio of the rate of heat removal H to the
power input P required for operation. Therefore, it is essentially equivalent to the coefficient of performance COP, although,
commercially, H is expressed in British thermal units per hour (Btu/hour) and P in watts.
Transcribed Image Text:The thermal efficiency of a refrigerator is determined by the coefficient of performance COP, which is defined as the ratio of the amount of heat removed to the input of mechanical work needed for operation, or Qout COP = Win СОР. %3D Part A An air conditioner operates exactly as a refrigerator; it removes heat from a cold place (a bedroom, for example) and conveys it to a warmer place (usually the outside). Quantities of practical importance in understanding the efficiency of air conditioners are the rate of heat removal and the electric power input to the unit (i.e., the electric energy consumed per unit time). Find an expression for the coefficient of performance COP of an air conditioner that has a rate of heat removal H and a power consumption P. Express your answer in terms of H and P. • View Available Hint(s) ? COP = Submit For most commercial air conditioner systems, the performance of the refrigerator unit is rated according to a quantity called the energy efficiency rating or EER. The EER of an air conditioner is defined as the ratio of the rate of heat removal H to the power input P required for operation. Therefore, it is essentially equivalent to the coefficient of performance COP, although, commercially, H is expressed in British thermal units per hour (Btu/hour) and P in watts.
commercially, H is expressed in British thermal units per hour (Btu/hour) and P in watts.
Part B
Given the definition of EER, find the EER of an 8000 Btu/hour air conditioner that requires a power input of 1500 W.
Express your answer numerically in British thermal units per hour per watt.
> View Available Hint(s)
?
EER =
(Btu/hour)/W
Submit
(Btu/hour)/W
Submit
• Part C
What is H, the rate of heat absorbtion by an air conditioner with an EER of 8.3 that operates at 1800 W? Recall that
1 Btu = 1055 J.
Express your answer in joules per minute.
• View Available Hint(s)
J/minute
Transcribed Image Text:commercially, H is expressed in British thermal units per hour (Btu/hour) and P in watts. Part B Given the definition of EER, find the EER of an 8000 Btu/hour air conditioner that requires a power input of 1500 W. Express your answer numerically in British thermal units per hour per watt. > View Available Hint(s) ? EER = (Btu/hour)/W Submit (Btu/hour)/W Submit • Part C What is H, the rate of heat absorbtion by an air conditioner with an EER of 8.3 that operates at 1800 W? Recall that 1 Btu = 1055 J. Express your answer in joules per minute. • View Available Hint(s) J/minute
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