A Carnot engine takes 3 × 10 6 c a l of heat from a reservoir at 627 ℃ and gives it to a sink at 27 ℃ . The work done by the engine is

Question

A Carnot engine takes 3 × 10 6 c a l of heat from a reservoir at 627 ℃ and gives it to a sink at 27 ℃ . The work done by the engine is, 4.2 × 10 6 J, 8.4 × 10 6 J, 16.8 × 10 6 J, Zero

MARKS App · Accepted Answer

Given, T 1 = 627 + 273 = 900 K Q 1 = 3 × 10 6 c a l T 2 = 27 + 273 = 300 K ∴ Q 1 T 1 = Q 2 T 2 ⇒ Q 2 = T 2 T 1 × Q 1 = 300 900 × 3 × 10 6 = 1 × 10 6 c a l Work done = Q 1 - Q 2 = 3 × 10 6 - 1 × 10 6 = 2 × 10 6 c a l Work done = ( 2 × 10 6 cal ) ( 4.2 J 1 cal ) = 8.4 × 10 6 J

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