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Q.

An ideal gas heat engine operates in a Carnot cycle between 27°C and 127°C. It absorbs 6 kcal at the higher temperature. The amount of heat (in kcal) converted into work is equal to

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a

3.5

b

1.6

c

1.5

d

4.8

answer is C.

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Detailed Solution

Efficiency of a carnot engine is given by η=1−T2T1 or WQ=1−T2T1⇒W6=1−(273+27)(273+127)⇒W=1.5kcal
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An ideal gas heat engine operates in a Carnot cycle between 27°C and 127°C. It absorbs 6 kcal at the higher temperature. The amount of heat (in kcal) converted into work is equal to