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  4. A gas can be taken from A to B via two different processes ACB and ADB. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/508ab0c2083e94da01cdaee376e90f94-.png /> When path ACB is used 60 J of heat flows into the system and 30J of work is done by the system. If path ADB is used work done by the system is 10 J. The heat (in joule) flow into the system in path ADB is :

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

Thermodynamics

Solution:

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$\Delta U$ remains same for both paths $ACB$ and $ADB$
$\Delta Q_{ACB} =\Delta W_{ACB} + \Delta U_{ACB}$
$\Rightarrow 60 J =30J +\Delta U_{ACB}$
$\Rightarrow U_{ACB} =30J$
$\therefore \Delta U_{ADB} =\Delta U_{ACB} =30J$
$\Delta Q_{ADB} =\Delta U_{ADB} +\Delta W_{ADB}$
$ = 10J +30J = 40J$