NEET UG CHEMISTRY MCQ: THERMODYNAMICS

At $25^{\circ} \mathrm{C}$, the enthalpy of the following processes are given

$\mathrm{H}_{2}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{OH}(\mathrm{g}) \Delta \mathrm{H}^{\circ} =78 \,\mathrm{kJ} \,\mathrm{mol}^{-1}$

$\mathrm{H}_{2}(\mathrm{g})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \Delta \mathrm{H}^{\circ} =-242 \,\mathrm{kJ} \,\mathrm{mol}^{-1}$

$\mathrm{H}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{H}(\mathrm{g}) \Delta \mathrm{H}^{\circ}=436 \,\mathrm{kJ} \,\mathrm{mol}^{-1}$

$\frac{1}{2} \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{O}(\mathrm{g}) \Delta \mathrm{H}^{\circ}=249 \,\mathrm{kJ} \,\mathrm{mol}^{-1}$
What would be the value of $X$ for the following reaction? _____ (Nearest integer)
$\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \rightarrow \mathrm{H}(\mathrm{g})+\mathrm{OH}(\mathrm{g}) \Delta \mathrm{H}^{\circ}=\mathrm{X} \,\mathrm{kJ} \,\mathrm{mol}^{-1}$