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Mechanical Properties Of Fluids

Question
CBSEENPH11019829

Find the quantity of heat rejected in the room per minute by a refrigerator fitted with compressor of power 240W. The temperature of space inside the refrigerator is -3°C and that of room is 27°C.

Solution

Given,
Initial temperature, straight T subscript 1 space equals space 27 degree straight C space equals space 300 straight K
Final temperature, straight T subscript 2 space equals space minus 3 degree straight C space equals space 270 straight K
Power, P = 240 W
The coefficient of performance of refrigerator, 
               straight beta equals straight Q subscript 2 over straight W equals fraction numerator straight T subscript 2 over denominator straight T subscript 1 minus straight T subscript 2 end fraction 
Therefore, 
Quantity of heat removed from refrigerator per second is, 
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Quantity of heat rejected to room per second,
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Quantity of heat rejected to room per minute, 
straight Q space equals space straight Q subscript 1 cross times 60 space equals space 1 comma 44 comma 000 space straight J