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Question

An ideal gas is taken through a cyclic thermodynamic process through four steps. The amounts of heat involved in these steps are Q1=5960 J, Q2=5585 J, Q3=2980 J and Q4=3645 J respectively. The corresponding works involved are W1=2200 J, W2=825 J, W3=1100 J and W4 respectively.
What is the efficiency of the cycle?

A
11.42%.
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B
10.82%.
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C
9.32%.
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D
5.82%.
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Solution

The correct option is B 10.82%.
Efficient of a cycle =work doneheat supplied
η=(1heat replacedheat supplied)100
heat replaced =|Q2|+|Q3|
heat supplied =|Q1|+|Q4|
η=(1Q2+Q3Q1+Q4)100
η=(185659605)100
η=10.82%

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