NEET2013PhysicsThermodynamicsActual
An engine has an efficiency of 1 / 6 . When the temperature of sink is reduced by 62^ C , its efficiency is doubled. The temperature of source will be
Options
- A37^ C
- B62^ C
- C99^ C
- D124^ C
Correct answer
C. 99^ C
Step-by-step solution
Using, =1- T₂ T₁ or T₂ T₁ =1- According to first case T₂ T₁ =1- 1 6 = 5 6 According to second case T₂-62 T₁ =1-2 1 6 = 2 3 T₂ T₁ - 62 T₁ = 2 3 From equations (i) and (ii), we get 5 6 - 62 T₁ = 2 3 5 6 - 2 3 = 62 T₁ 1 6 = 62 T₁ T₁=372 ~K or T₁=372-273T₁=99^ C