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If the coefficient of performance of a r...

If the coefficient of performance of a refrigerator is 5 and operates at the room temperature (`27^(@)` C), find the temperature inside the refrigerator.

Text Solution

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Given , coefficient of performance `(beta)`=5
`" "T_(1)=(27+273)K=300K,T_(2)=?`
Coefficient of performance `(beta)=(T_(2))/(T_(1)-T_(2))`
`" "5=(T_(2))/(300-T_(2))rArr1500-5T_(2)=T_(2)`
`rArr" "6T_(2)=1500" "rArrT_(2)=250K`
`rArr" "T_(2)=(250-273)^(@)C=-23^(@)C`
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