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A Carnot engine, having an efficiency of =1 / 10 as heat engine, is used as a refrigerator. If the work done on the system is 10 ~J , the amount of energy absorbed from the reservoir at lower temperature is

Options

  1. A99 ~J
  2. B90 ~J
  3. C1 ~J
  4. D100 ~J

Correct answer

B. 90 ~J

Step-by-step solution

aligned W & = Q ₂ ( T ₁ ~T ₂ -1 ) =1- T ₂ ~T ₁ 10 & = Q ₂ ( 10 9 -1 ) 1 10 =1- T ₂ ~T ₁ T ₂ ~T ₁ =1- 1 10 = 9 10 10 & = Q ₂ ( 1 9 ) T ₁ ~T ₂ = 10 9 Q ₂ & =90 ~J aligned

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