As shown in the figure,the amount of heat abs | vedclass

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(A) The change in internal energy $\Delta U$ is a state function,meaning it depends only on the initial and final states,not the path taken.For paths

Vedclass · Accepted Answer

$80$

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(A) The change in internal energy $\Delta U$ is a state function,meaning it depends only on the initial and final states,not the path taken.For paths $ABC$ and $ADC$,the initial state is $A$ and the final state is $C$. Therefore,$\Delta U_{ABC} = \Delta U_{ADC}$.According to the first law of thermodynamics,$\Delta Q = \Delta U + W$,which implies $\Delta U = \Delta Q - W$.For path $ABC$: $\Delta U_{ABC} = \Delta Q_{ABC} - W_{ABC} = 90\,J - 30\,J = 60\,J$.Since $\Delta U_{ADC} = \Delta U_{ABC} = 60\,J$,we have for path $ADC$:$\Delta Q_{ADC} - W_{ADC} = 60\,J$$\Delta Q_{ADC} - 20\,J = 60\,J$$\Delta Q_{ADC} = 60\,J + 20\,J = 80\,J$.

As shown in the figure,the amount of heat absorbed along the path $ABC$ is $90\,J$ and the amount of work done by the system is $30\,J$. If the amount of work done along the path $ADC$ is $20\,J$,the amount of heat absorbed will be .... $J$.

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