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  1. 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​​
    1. 99°C, 37°C ​
    2. 80°C, 37°C ​
    3. 95°C, 37°C ​
    4. 90°C , 37°C
Correct Option: A

​Initially the efficiency of the engine was
1
1
which increases to
63

when the sink temperature reduces by 62° C.
η =
1
= 1 -
T2
when T2 = sink temperature ​T1 = source temperature
6T1

⇒ T2 =
5
T1
6

Secondly,
1
= 1 -
T2 - 62
= 1 -
T2
+
62
= 1 -
5
+
62
3T1T1T16T1

or, T1 = 62 × 6 = 372K = 372 – 273 = 99°C
& T2 =
5
× 372 = 310 K = 310 - 273 = 37° C
6



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