The efficiency of a heat engine is 1 / 6 . Its efficiency double when the temperature of sink decrease by 62^ C , its efficiency doubles. Then, what is the temperature of source?

Step-by-step solution

Efficiency of a heat engine, =1- T ₂ ~T ₁ or 1 6 =1- T ₂ ~T ₁ T ₂ ~T ₁ =1- 1 6 = 5 6 T ₂= 5 ~T ₁ 6 ...(i) According to question, it's efficiency is doubled when temperature of sink decreased by 62^ C . 2 =1- T ₂-62 ~T ₁ 2 ( 1 6 )=1- ( 5 T₁ 6 -62 ) T₁ [From Eq. (i)] array rlrl & 5 ~T ₁ 6 -62 & = T ₁ (1- 2 6 )= 2 ~T ₁ 3 or & 5 ~T ₁ 6 - 2 ~T ₁ 3 & =62 T ₁ 6 =62 or & T ₁=372 ~K array