For reaction, $\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow…

For reaction, $\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathrm{~g})}$ Which of the following equations is CORRECT at constant $T$ and $P$ ?
  1. $\Delta \mathrm{H} < \Delta \mathrm{U}$
  2. $\Delta \mathrm{H}>\Delta \mathrm{U}$
  3. $\Delta \mathrm{H}=\Delta \mathrm{U}$
  4. $\Delta \mathrm{H}^{\prime}=0$

Solution

$\begin{aligned} & \Delta \mathrm{H}=\Delta \mathrm{U}+\Delta \mathrm{n}_{\mathrm{g}} \mathrm{RT} \\ & \Delta \mathrm{n}_{\mathrm{g}}=1-(1+0.5)=-0.5 \\ & \Delta \mathrm{H}=\Delta \mathrm{U}-0.5 \\ & \Rightarrow \Delta \mathrm{H} < \Delta \mathrm{U}\end{aligned}$

Asked in: MHT CET 2023 (12 May Shift 1)

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