Question 428: Thermodynamics & KTG

Question

A carnot engine having an efficiency of $${1 \over {10}}$$ is
being used as a refrigerator. If the work done
on the refrigerator is 10 J, the amount of
heat absorbed from the reservoir at lower
temperature is :

Accepted Answer

n = $$1 - {{{T_C}} \over {{T_H}}}$$
$$ \Rightarrow $$ $${1 \over {10}}$$ = $$1 - {{{T_C}} \over {{T_H}}}$$
$$ \Rightarrow $$ $${{{T_C}} \over {{T_H}}} = {9 \over {10}}$$
As for carnot engine T $$ \propto $$ Q
$$ 	herefore $$ $${{{Q_C}} \over {{Q_H}}} = {9 \over {10}}$$
$$ \Rightarrow $$ $${{Q_H} = {{10} \over 9}{Q_C}}$$
As W = Q
- Q
C
$$ \Rightarrow $$ 10 = $${{{10} \over 9}{Q_C}}$$ - Q
C
$$ \Rightarrow $$ Q
C
= 90 J

Answer

90 J

Answer

99 J

Answer

1 J

Answer

100 J

Thermodynamics & KTG

A carnot engine having an efficiency of ${1 \over {10}}$ is being used as a refrigerator. If the work done on the refrigerator is 10 J, the amount of heat absorbed from the reservoir at lower temperature is :

Choose the correct answer: