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Q.

A carnot engine, having an efficiency of $η =$ 1 10 as heat engine, is used as a refrigerator. If the work done on the system is 10J, the amount of energy absorbed from the reservoir at lower temperature is

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a

90J

b

99J

c

1J

d

100J

answer is C.

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Detailed Solution

We know that coefficient of performance
$K = \frac{Q_{2}}{W}$
But $1 + K = \frac{1}{η}; 1 + K = \frac{1}{(\frac{1}{10})} = 10$
$\begin{array}{l} ∴ K = 9 \\ k = 9 = \frac{Q_{2}}{W} \Rightarrow Q_{2} = 9 W = 9 \times 10 = 90 J \end{array}$

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A carnot engine, having an efficiency of η=1 10 as heat engine, is used as a refrigerator. If the work done on the system is 10J, the amount of energy absorbed from the reservoir at lower temperature is