Q19 / 150 · MHT CET 2022 (07 Aug Shift 2) · Chemistry

For the reaction, $\mathrm{C}_2 \mathrm{H}_2 \mathrm{OH}(l)+30_{2(\mathrm{~g})} \rightarrow 2 \mathrm{C}_2 \mathrm{O}(l) \Delta \mathrm{U}$ is the heat of reaction at constant volume. Then heat of reaction at constant pressure is

  • A
    $\Delta \mathrm{H}=\Delta \mathrm{U}+\mathrm{RT}$
  • B
    $\Delta \mathrm{H}=\Delta \mathrm{U}+2 \mathrm{RT}$
  • C
    $\Delta \mathrm{H}=\Delta \mathrm{U}-2 \mathrm{RT}$
  • Correct answer
    D
    $\Delta \mathrm{H}=\Delta \mathrm{U}-\mathrm{RT}$

Solution

$\begin{aligned} & \Delta H=\Delta U+(2-3) R T \\ & \Delta H=\Delta U-R T\end{aligned}$

Hence, the correct answer is option: 'D'.

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