Verified Solution • 2025–26 Session moderate

QJEEM23Ch04aa: JEE Main 2023 Chemistry - Class 11 JEEM23Ch04aa Solution: At , the enthalpy of the following processes are given : .tg…

At 25∘C25^{\circ} \mathrm{C} , the enthalpy of the following processes are given :

H2(g)+O2(g)\mathrm{H_2(g)+O_2(g)} →\to 2OH(g)2\mathrm{OH(g)} ΔH∘=78 kJ mol−1\mathrm{\Delta H^\circ=78~kJ~mol^{-1}}
H2(g)+12O2(g)\mathrm{H_2(g)+\frac{1}{2}O_2(g)} →\to H2O(g)\mathrm{H_2O(g)} ΔH∘=−242 kJ mol−1\mathrm{\Delta H^\circ=-242~kJ~mol^{-1}}
H2(g)\mathrm{H_2(g)} →\to 2H(g)\mathrm{2H(g)} ΔH∘=436 kJ mol−1\mathrm{\Delta H^\circ=436~kJ~mol^{-1}}
12O2(g)\frac{1}{2}\mathrm{O_2(g)} →\to O(g)\mathrm{O(g)} ΔH∘=249 kJ mol−1\mathrm{\Delta H^\circ=249~kJ~mol^{-1}}

What would be the value of X for the following reaction ? _____________ (Nearest integer)

H2O(g)→H(g)+OH(g) ΔH∘=X kJ mol−1\mathrm{H_2O(g)\to H(g)+OH(g)~\Delta H^\circ=X~kJ~mol^{-1}}

Step-by-Step Verified Solution

 (i) + (iii) 2−\frac{\text { (i) }+\text { (iii) }}{2}- (ii) gives desired reaction

amp;ΔHr=436+782−(−242)amp;=436+782+242=499\begin{aligned}& \Delta \mathrm{H}_{\mathrm{r}}=\frac{436+78}{2}-(-242) \\\\& =\frac{436+78}{2}+242=499\end{aligned}

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