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An ideal refrigerator runs between -23^(...

An ideal refrigerator runs between `-23^(@)C` and `27^(@)C`. Find the heat regected to atomosphere for every joule of work input.

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Let the heat rejected to the atmosphere `Q_1 = x` and given W = 1 joule. Now `Q_2 = Q_1 = W =x-1`.
Given Hot temperature `T_1 = 273 + 27 = 300K` and cold temperature `T_2 = 273 - 23 = 250K`
For ideal process we know
`Q_1/Q_2 = T_1/T_2`
`:. x/(x-1) = 300/350`
or x = `beta` joule
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