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)