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Q. A gas can be taken from $A$ to $B$ via two different processes $ACB$ and $ADB$ .
Question
When path $ACB$ is used $60 \, J$ of heat flows into the system and $30 \, J$ of work is done by the system. If the path $ADB$ is used then work done by the system is $10 \, J$ , the heat flows into the system in the path $ADB$ is:

NTA AbhyasNTA Abhyas 2022

Solution:

For path $ACB$ ,
$ΔQ=ΔU+ΔW$
$60=ΔU+30$
$\Rightarrow \, \, ΔU=30J$
For path $ADB$
$ΔQ=ΔU+ΔW$
As initial and find points are the same, change in internal energy is same in both the cases
$ΔQ=30+10$
$=40 \, J$