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Question: Answered & Verified by Expert
A Carnot engine takes $3 \times 10^6 \mathrm{cal}$. 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
PhysicsThermodynamicsJEE MainJEE Main 2003
Options:
  • 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:
2371 Upvotes Verified Answer
The correct answer is:
$8.4 \times 10^6 \mathrm{~J}$
$\eta=\frac{(627+273)-(273+27)}{627+273}$
$=\frac{900-300}{900}=\frac{600}{900}=\frac{2}{3}$
work $=(\eta) \times$ Heat
$=\frac{2}{3} \times 3 \times 10^6 \times 4.2 \mathrm{~J}=8.4 \times 10^6 \mathrm{~J}$

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