A Carnot engine has an efficiency of 1 6 . When the temperature of the sink is reduced by 62 ℃ , its efficiency is doubled. The temperature of source and sink are,

Question

A Carnot engine has an efficiency of 1 6 . When the temperature of the sink is reduced by 62 ℃ , its efficiency is doubled. The temperature of source and sink are,, 99 ℃ , 37 ℃, 124 ℃ , 62 ℃, 37 ℃ , 99 ℃, 62 ℃ , 124 ℃

MARKS App · Accepted Answer

η = 1 - T 2 T 1 ⇒ T 2 T 1 = 1 - η = 1 - 1 6 = 5 6 ...(i) in the second case T 2 - 62 T 1 = 1 - η ′ = 1 - 2 6 = 2 3 ...(ii) from Eqs. (i) and (ii) now T 2 - 62 = 2 3 T 1 = 2 3 × 6 5 T 2 ⇒ T 2 = 310 K = 310 - 273 = 37 ℃ T 1 = 6 5 T 2 = 6 5 × 310 = 372 K = 372 - 273 = 99 ℃

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