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Question

An ideal gas is subjected to a cyclic process involving four thermodynamic states; the amounts of heat (Q) and work (W) involved in each of these states are Q1=6000J,Q2=5500J,Q3=3000J,Q4=3500JW1=2500J,W2=1000J,W3=1200J,W4=xJ. The ratio of the net work done by the gas to the total heat absorbed by the gas in 'η'. The values of x and η respectively are:

A
500,7.5%
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B
1000,10.5%
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C
1000,21%
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D
1500,15%
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Solution

The correct option is C 1000,10.5%
According to the data given in the question,
Net work done =250010001200+700
=1000J
Heat absorbed =6000+3500
=9500J
η=10009500×100
=10.5%

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