An engine has an efficiency of 1/6. When the temperature of sink is reduced

An Engine Has An Efficiency Of 16 When The Temperature Physics QuestionAn Engine Has An Efficiency Of 16 When The Temperature Physics Question

An engine has an efficiency of 1/6. When the temperature of sink is reduced by 62⁰C, its efficiency is doubled. Temperature of the source is

Options

(a) 37⁰C
(b) 62⁰C
(c) 99⁰C
(d) 124⁰C

Correct Answer:

99⁰C

Explanation:

Since efficiency of engine is ? = 1 – T₂ / T₁
According to the problem, 1/6 = 1 – T₂ / T₁ ……(1)
When the temperature of the sink is reudced by 62⁰C, its efficiency is doubled
2 (1/6) = 1 – T₂ – 62 / T₁ ……..(2)Solving (1) and (2) T₂ = 372 K
T₁ = 99⁰C = Temperature of source.

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