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Question

A system goes from $$A$$ to $$B$$ via two processes $$I$$ and $$II$$ as shown in figure. If $$\Delta {U}_{1}$$ and $$\Delta{U}_{2}$$ are the changes in internal energies in the processes $$I$$ and $$II$$ respectively, then:
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A
relation between ΔU1 and ΔU2 cannot be determined
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B
ΔU1=ΔU2
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C
ΔU1<ΔU2
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D
ΔU1>ΔU2
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Solution

The correct option is B $$\Delta {U}_{1}=\Delta{U}_{2}$$
Internal Energy (U) is a state function. It's value depends only on the initial and final positions.
Change in internal energy do not depend upon the path followed by the process. It only depends on initial and final states i.e
$$\Delta {U}_{1}=\Delta {U}_{2}$$

Chemistry

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