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The temperature inside a refrigerator is...

The temperature inside a refrigerator is `t_(2)^(@)C` . The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Temperature inside refrigeratior =`t_(2)^(@)C`
Room temperature = `t_(1)^(@)C`
For refrigerator,
`(" Heat given to high temperature" (Q_(1)))/("Heat taken from lower temperature" (Q_(2)))=(T_(1))/(T_(2))`
`(Q_(1))/(Q_(2))=(t_(1)+273)/(t_(2)+273)`
`rArr (Q_(1)/(Q_(1)-W)=(t_(1)+273)/(t_(2)+273)` or , `1-(W)/(Q_(1))=(t_(2)+273)/(t_(1)+273)`
or `(W)/(Q_(1))=(t_(1)-t_(2))/(t_(1)+273)`
The amount of het delivered to the room for each joule of electrical energy (W=1 J)
`Q_(1)=(t_(1)+273)/(t_(1)-t_(2))`
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