What is the work done at $300 \mathrm{~K}$ for the reaction? $\mathrm{SO}_2(\mathrm{~g})+\frac{1}{2}…

What is the work done at $300 \mathrm{~K}$ for the reaction? $\mathrm{SO}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{SO}_3(\mathrm{~g}) ?$ $($ Given $\mathrm{R}=8.314) \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  1. $-1247.1 \mathrm{~J}$
  2. $-247 \mathrm{~J}$
  3. $850.7 \mathrm{~J}$
  4. $1247 \mathrm{~J}$

Solution

$\begin{aligned} & \mathrm{W}=+\Delta \mathrm{n}_{\mathrm{g}} \mathrm{RT} \\ & =+\frac{1}{2} \times 8.314 \times 300 \\ & =+1247.1 \mathrm{~J}\end{aligned}$

Asked in: MHT CET 2022 (06 Aug Shift 1)

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