A Carnot engine take 5000 kcal of heat from a reservoir at 727° C and gives heat to a sink at 127° C. The work done by the engine is :

Question

A Carnot engine take 5000 kcal of heat from a reservoir at 727° C and gives heat to a sink at 127° C. The work done by the engine is : (A) 3 × 106 J (B) Zero (C) 12.6 × 106 J (D) 8.4 × 106 J

Tardigrade Admin · Accepted Answer

beginarrayl L =( WD / Q H ) beginaligned ⇒ WD = Q H (1-( T L / T H )) =5 × 103(1-(400/1000)) =3000 kcal endaligned endarray

Q. A Carnot engine take $5000 k c a l$ of heat from a reservoir at $72 7^{\circ} C$ and gives heat to a sink at $12 7^{\circ} C$ . The work done by the engine is :

$3 \times 1 0^{6} J$

Zero

$12.6 \times 1 0^{6} J$

$8.4 \times 1 0^{6} J$

$L = \frac{W D}{Q _{H}} \Rightarrow W D = Q_{H} (1 - \frac{T _{L}}{T _{H}}) = 5 \times 1 0^{3} (1 - \frac{400}{1000}) = 3000 k c a l$

Q. A Carnot engine take 5000kcal of heat from a reservoir at 727∘C and gives heat to a sink at 127∘C. The work done by the engine is :

3×106J

Zero

12.6×106J

8.4×106J

L=QH​WD​⇒WD​=QH​(1−TH​TL​​)=5×103(1−1000400​)=3000kcal​​

Q. A Carnot engine take $5000 k c a l$ of heat from a reservoir at $72 7^{\circ} C$ and gives heat to a sink at $12 7^{\circ} C$ . The work done by the engine is :

$3 \times 1 0^{6} J$

$12.6 \times 1 0^{6} J$

$8.4 \times 1 0^{6} J$

$L = \frac{W D}{Q _{H}} \Rightarrow W D = Q_{H} (1 - \frac{T _{L}}{T _{H}}) = 5 \times 1 0^{3} (1 - \frac{400}{1000}) = 3000 k c a l$