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The temperature inside a refrigerator is...

The temperature inside a refrigerator is `t_2` °C and the room temperature is `t_1` °C. The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be

A

`(t_(1)^@+273)/(t_(1)^@+t_(2)^@)`

B

`(t_(1)^@+t_(2)^@)/(t_(1)^@+273)`

C

`(t_(1)^@)/(t_(1)^@ - t_(2)^@)`

D

`(t_(1)^@-273)/(t_(1)^@+t_(2)^@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Heat delivered `=Q_(1)`
C.O.P. `(beta)=Q_2/W=(Q_(1)-W)/(W)=(Q_(1))/W-1=(T_2)/(T_1-T_2)`
`rArr Q_1/W=1+(t_2^@+273)/(t_1^@- t_2^@)=(t_(1)^@+273)/(t_1^@+t_(2)^@)`
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