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Question

When a system is taken from state a to state b along the path acb, it is found that a quantity of heat Q=200 J is absorbed by the system and a work W=80 J is done by it. Along the path adb,Q=144 J. The work done along the path adb is

A
6 J
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B
12 J
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C
18 J
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D
24 J
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Solution

The correct option is D 24 J
AS internal energy is state variable ΔU is same for both process acb and adb
First law of thermodynamics for process acb gives
ΔUab=ΔQacbΔWacb=20080=120 J
First law of thermodynamics for process adb gives
ΔWadb=ΔQadbΔUab
=144120=24 J

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