When a man returns to his well-sealed house on a summer day, he finds that the house is at 35°C. He turns on the air conditioner,which cools the entire house to 20°C in 36 min. If the COP of the air-conditioning system is 2.8, determine the power drawn by the airconditioner. Assume the entire mass within the house is equivalent to 800 kg of air for which cy= 0.72 kJ/kg °C and cp = 1.0 kJ/kg-°C.35°C20°CWA/CThe power drawn by the air conditioner iskW.

Answered: The power drawn by the air conditioner…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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When a man returns to his well-sealed house on a summer day, he finds that the house is at 35°C. He turns on the air conditioner,
which cools the entire house to 20°C in 36 min. If the COP of the air-conditioning system is 2.8, determine the power drawn by the air
conditioner. Assume the entire mass within the house is equivalent to 800 kg of air for which cy= 0.72 kJ/kg °C and cp = 1.0 kJ/kg-°C.
35°C
20°C
W
A/C
The power drawn by the air conditioner is
kW.

Expert Solution

Step 1

Coefficient of performance:- Coefficient of performance is a measure of how effective an air conditioner is in extracting heat versus heat supplied to compressor.

It is given that,

Initial temperature (T₁) = 35 $° C$

Final Temperature (T₂) = 20 $° C$

Time taken ( $t)$ = 36 min = 36 $\times 60$ sec = 2160 sec

COP = 2.8

Mass of air (m) = 800 kg

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