Question
A carnot engine takes ( 3 times 10^{6} ) cal of heat from a reservoir at ( 627^{circ} mathrm{C} ) and gives it to a sink at ( 27^{circ} mathrm{C} . ) The work done by the engine is

A carnot engine takes ( 3 times 10^{6} ) cal of heat from a reservoir at ( 627^{circ} mathrm{C} ) and gives it to a sink at ( 27^{circ} mathrm{C} . ) The work done by the engine is
(A) ( 4.2 times 10^{6} mathrm{J} )
(B) ( 8.4 times 10^{6} mathrm{J} )
(C) ( 16.8 times 10^{6} mathrm{J} )
(D) zero
Solution

( {frac{w}{Q_{1}}}{}=frac{T_{2}}{7_{1}} )
( frac{w}{3 times ^{}} times ^{}=1-frac{300}{900}=frac{2}{3} )
( w=2 times 10^{6} mathrm{col} )
(2 times 10^{6} times 4.18J)