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Q. A Carnot refrigerator extracts $ 35.0\, kJ $ as heat during each cycle, operating with a coefficient of performance of $ 4.60 $ . Find the energy per cycle transferred as heat to the surroundings

AMUAMU 2011

Solution:

Coefficient of performance
$B = \frac{Q_2}{Q_1 - Q_2}$
$4.6 = \frac{35}{Q_1 - 35}$
$ 4.6 Q_1 = 35 + 161$
$Q_1 = 42.6\,kJ$