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Three different processes that can occur in an ideal monoatomic gas are shown in the \( \mathrm{P} \) vs \( \mathrm{V} \) diagram. The paths are labelled as \( \mathrm{A} \rightarrow \mathrm{B}, \mathrm{A} \rightarrow \mathrm{C} \) and \( \mathrm{A} \rightarrow \mathrm{D} \). The
P change in internal energies during these process are

W taken as \( \mathrm{E}_{\mathrm{AB}}, \mathrm{E}_{\mathrm{AC}} \) and \( \mathrm{E}_{\mathrm{AD}} \) and the work done as \( \mathrm{W}_{\mathrm{AB}} \), \( \mathrm{W}_{\mathrm{AC}} \) and \( \mathrm{W}_{\mathrm{AD}} \).
The correct relation between these parameters are
[JEE Main-2020 (September)]
(1) \( \mathrm{E}_{\mathrm{AB}}\mathrm{E}_{\mathrm{AC}}\mathrm{E}_{\mathrm{AD}}, \mathrm{W}_{\mathrm{AB}}0, \mathrm{~W}_{\mathrm{AC}}\mathrm{W}_{\mathrm{AD}} \)
(2) \( \mathrm{E}_{\mathrm{AB}}=\mathrm{E}_{\mathrm{AC}}=\mathrm{E}_{\mathrm{AD}}, \mathrm{W}_{\mathrm{AB}}0, \mathrm{~W}_{\mathrm{AC}}=0, \mathrm{~W}_{\mathrm{AD}}0 \)
(3) \( \mathrm{E}_{\mathrm{AB}}\mathrm{E}_{\mathrm{AC}}\mathrm{E}_{\mathrm{AD}}, \mathrm{W}_{\mathrm{AB}}\mathrm{W}_{\mathrm{AC}}\mathrm{W}_{\mathrm{AD}} \)
(4) \( \mathrm{E}_{\mathrm{AB}}=\mathrm{E}_{\mathrm{AC}}\mathrm{E}_{\mathrm{AD}}, \mathrm{W}_{\mathrm{AB}}0, \mathrm{~W}_{\mathrm{AC}}=0, \mathrm{~W}_{\mathrm{AD}}0 \)
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