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Question

A heat engine absorbs Q1 heat from hot reservoir and work produced by engine is W, then:

A
Q1 is always =W
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B
only in some special cases Q1=W otherwise Q1 is greater than W
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C
Q1 is always less than W
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D
Q1 is always greater than W
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Solution

The correct option is D Q1 is always greater than W
In a heat engine , if Q1 is the heat absorbed from reservoir , W be the work done by engine and let Q2 be the heat given to sink , then by the first law of thermodynamics
Q1Q2=W (internal energydU=0 for cyclic process)
this equation gives that Q1 is always greater than W .

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