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

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Solution:

$\Delta Q_{ACB} = \Delta W_{ACB} + \Delta U_{ACB}$
$\Rightarrow \; 60 J = 30 J + \Delta U_{ACB}$ $\Rightarrow \; \Delta U_{ACB} = 30 \;J$
$\Rightarrow \; \Delta U_{ADB} = \Delta U_{ACB } = 30 \; J$
$\Delta Q_{ACD} = \Delta U_{ACB} + \Delta W_{ADB}$ = 10 J + 30 J = 40 J

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