Relation between $\Delta \mathrm{H}$ and $\Delta \mathrm{U}$ for the reaction $2…

Relation between $\Delta \mathrm{H}$ and $\Delta \mathrm{U}$ for the reaction $2 \mathrm{SO}_{3(\mathrm{~g})} \longrightarrow 2 \mathrm{SO}_{2_{(\mathrm{g})}}+\mathrm{O}_{2_{(\mathrm{g})}}$ is
  1. $\Delta \mathrm{H}-\Delta \mathrm{U}=2 \mathrm{RT}$
  2. $\Delta \mathrm{H}-\Delta \mathrm{U}=\mathrm{RT}$
  3. $\Delta \mathrm{H}+\Delta \mathrm{U}=-\mathrm{RT}$
  4. $\Delta \mathrm{H}+\Delta \mathrm{U}=\mathrm{RT}$

Solution

$2 \mathrm{SO}_{3(g)} \longrightarrow 2 \mathrm{SO}_{2(g)}+\mathrm{O}_{2(g)}$ $\Delta \mathrm{n}=3-2=1$ $\mathrm{Now}, \Delta \mathrm{H}=\Delta \mathrm{U}+\Delta \mathrm{n} \mathrm{RT}$ $\therefore \Delta \mathrm{H}-\Delta \mathrm{U}=\mathrm{RT}$

Asked in: MHT CET 2020 (14 Oct Shift 2)

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