Which of the following graphs correctly represents the variation of thermodynamic properties of Haber's…

Which of the following graphs correctly represents the variation of thermodynamic properties of Haber's process?




Solution

$\begin{aligned}
& \mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_3 \\
& \Delta \mathrm{H}^{\circ}=-\mathrm{ve} \\
& \Delta \mathrm{~S}^{\circ}=-\mathrm{ve}
\end{aligned}$
(As gaseous moles decreases).
(1) As temperature increases $\frac{-\Delta \mathrm{H}_R^0}{T}$, decreases
(2) $\Delta \mathrm{G}^{\circ}=-\mathrm{RT} \ln \mathrm{K}_{\mathrm{eq}}$
$\mathrm{R} \ln \mathrm{K}_{\mathrm{eq}}=-\frac{\Delta \mathrm{G}^0}{\mathrm{~T}}$
(on increasing temperature in exothermic reaction $\mathrm{K}_{\text {eq }}$ decreases)
$\Delta \mathrm{H}^{\circ}$ and $\Delta \mathrm{S}^{\circ}$ are almost constant with temperature.

Asked in: JEE Main 2025 (02 Apr Shift 2)

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