For following reaction, relation between $\Delta \mathrm{H}$ and $\Delta \mathrm{U}$ is $2…

For following reaction, relation between $\Delta \mathrm{H}$ and $\Delta \mathrm{U}$ is $2 \mathrm{SO}_{3(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{SO}_{3(\mathrm{~g})}$
  1. $\Delta \mathrm{H}=\Delta \mathrm{U}-2 \mathrm{RT}$
  2. $\Delta \mathrm{H}=\Delta \mathrm{U}-\mathrm{RT}$
  3. $\Delta \mathrm{H}=\Delta \mathrm{U}+2 \mathrm{RT}$
  4. $\Delta \mathrm{H}=\Delta \mathrm{U}+\mathrm{RT}$

Solution

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

Asked in: MHT CET 2020 (13 Oct Shift 2)

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