In the graph below, each unit on the horizontal axis is $2\mathrm{.}20{10}^{-3}{m}^3$ and each unit on the vertical axis is $0\mathrm{.}3$ atm.

$($a$)$ Determine the change in internal energy of the gas if $2402$ J of heat is added as it expands in volume along the direct path CA$.$

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$($b$)$ To get the same change in internal energy, how much heat must be added to the gas as it goes along the path CBA? J