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COMEDK2013PhysicsThermodynamics

An ideal gas heat engine operates in a Carnot's cycle between 227^ C and 127^ C . It absorbs 6 10⁴ ~J at high temperature. The amount of heat converted into work is

Options

  1. A1.6 10⁴ ~J
  2. B1.2 10⁴ ~J
  3. C4.8 10⁴ ~J
  4. D3.5 10⁴ ~J

Correct answer

B. 1.2 10⁴ ~J

Step-by-step solution

Given, T₁=227^ C =227+273=500 ~K T₂=127^ C =127+273=400 ~K Heat input, H_ i =6 10⁴ ~J Efficiency of Carnot engine, aligned &=1- T₂ T₁ &=1- 400 500 = 1 5 aligned Also, efficiency, aligned &= Work output Heat input = W 6 10⁴ W &= 6 10⁴= 1 5 6 10⁴ &=1.2 10⁴ ~J aligned

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