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Manipal MET2012PhysicsThermodynamics

An ideal gas heat engine operates in a Carnot's cycle between 227^ C and 127^ C . It absorbs 6 10^4 ~J at high 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 Q₁ = Q₁-Q₂ Q₁ or W Q₁ =1- Q₂ Q₁ or W Q₁ =1- T₂ T₁ ( Q₁ Q₂ = T₁ T₂ ) or W -Q₁ (1- T₂ T₁ ) W =6 10^4 [1- 127+273 227+273 ] or W= 10^4 (1- 400 500 )= 6 10^4 100 500 = 1.2 10^4 ~J

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