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An ideal gas goes from state \( A \) to state \( B \) via three different processes as indicated in the \( P-V \) diagram. If \( Q_{1}, Q_{2}, Q_{3} \) indicate the heat absorbed
\( \mathrm{P} \) by the gas along the three

W processes and \( \Delta U_{1}, \Delta U_{2}, \Delta U_{3} \) indicate the chang in internal energy along the three processe: respectively, then
(a) \( Q_{1}Q_{2}Q_{3} \) and \( \Delta U_{1}=\Delta U_{2}=\Delta U_{3} \)
(b) \( Q_{3}Q_{2}Q_{1} \) and \( \Delta U_{1}=\Delta U_{2}=\Delta U_{3} \)
(c) \( Q_{1}=Q_{2}=Q_{3} \) and \( \Delta U_{1}\Delta U_{2}\Delta U_{3} \)
(d) \( Q_{3}Q_{2}Q_{1} \) and \( \Delta U_{1}\Delta U_{2}\Delta U_{3} \) (Mains 2012)
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