Calculate the work done in the following reaction at $300 \mathrm{~K}$ and at constant pressure.…

Calculate the work done in the following reaction at $300 \mathrm{~K}$ and at constant pressure. $\begin{aligned} & \left(\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right) \\ & 4 \mathrm{HCl}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{H}_2 \mathrm{O}_{(\mathrm{g})} \end{aligned}$
  1. $-7482 \mathrm{~J}$
  2. $-4988 \mathrm{~J}$
  3. $2494 \mathrm{~J}$
  4. $3200 \mathrm{~J}$

Solution

$\begin{aligned} \mathrm{W} & =-\Delta \mathrm{n}_{\mathrm{g}} \mathrm{RT} \\ & =-(4-5) \times 8.314 \times 300 \\ & =1 \times 8.314 \times 300 \\ & =2494.2 \mathrm{~J}\end{aligned}$

Asked in: MHT CET 2023 (13 May Shift 1)

Practice more Chemical Thermodynamics questions on Aicharya