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An ideal gas heat engine operates in a Carnot's cycle between 227 ° C and 127 ° C . It absorbs 6 × 10 4 J at the higher temperature. The amount of heat converted into work is

Options

  1. A1.6 × 10 4 J
  2. B1.2 × 10 4 J
  3. C4.8 × 10 4 J
  4. D3.5 × 10 4 J

Correct answer

B. 1.2 × 10 4 J

Step-by-step solution

Using the relation, W Q 1 = Q 1 - Q 2 Q 1 W Q 1 = 1 - Q 2 Q 1 W Q 1 = 1 - T 2 T 1 ∵ Q 1 Q 2 = T 1 T 2 W = Q 1 1 - T 2 T 1 ∴ W = 6 × 10 4 1 - ( 127 + 273 ) ( 227 + 273 ) W = 6 × 10 4 1 - 400 500 = 6 × 10 4 × 100 500 = 1.2 × 10 4 J

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