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Heat Capacity

In the figure...

Question

In the figure, an ideal gas changes its state from state $A$ to state $C$ by two paths $A B C$ and $A C$ .
Find the path along which work done has a lower value.

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Solution

Minimum work done is along path $A C$ (as the area below the $P - V$ curve is less in $A C$ than $A B C$ ).

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