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A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by 62°C, the efficiency of the engine is doubled. The temperatures of the source and sink are
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- 99°C, 37°C
- 80°C, 37°C
- 95°C, 37°C
- 90°C , 37°C
Correct Option: A
Initially the efficiency of the engine was | which increases to | |||
6 | 3 |
when the sink temperature reduces by 62° C.
η = | = 1 - | when T2 = sink temperature T1 = source temperature | ||
6 | T1 |
⇒ T2 = | T1 | |
6 |
Secondly,
= 1 - | = 1 - | + | = 1 - | + | |||||||
3 | T1 | T1 | T1 | 6 | T1 |
or, T1 = 62 × 6 = 372K = 372 – 273 = 99°C
& T2 = | × 372 = 310 K = 310 - 273 = 37° C | |
6 |