# A system goes from A to B via two processes I and II as shown in figure. If  $\dpi{100} \Delta U_{1}$  and $\dpi{100} \Delta U_{2}$ are the changes  in internal energies in the processes I and II respectively, then  Option 1) $\Delta U_{2}>\Delta U_{1} \;$ Option 2) $\; \Delta U_{2}< \Delta U_{2}\;$ Option 3) $\; \Delta U_{1}= \Delta U_{2}\; \;$ Option 4) relation between $\Delta U_1\: \: and\, \, \Delta U_2\:$  can not be determined

As we learnt in

Property of internal energy -

U (internal energy) is a state function.

- wherein

i.e. It depends only on initial and final state.

Change in internal energy depends only at initial and final stage.

$\therefore \Delta U_{1} = \Delta U_{2}$

Option 1)

$\Delta U_{2}>\Delta U_{1} \;$

This option is incorrect.

Option 2)

$\; \Delta U_{2}< \Delta U_{2}\;$

This option is incorrect.

Option 3)

$\; \Delta U_{1}= \Delta U_{2}\; \;$

This option is correct.

Option 4)

relation between $\Delta U_1\: \: and\, \, \Delta U_2\:$  can not be determined

This option is incorrect.

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