For the reaction, $\mathbf{X}(s) \rightleftharpoons \mathbf{Y}(s)+\mathbf{Z}(g)$, the plot of $\ln…

For the reaction, $\mathbf{X}(s) \rightleftharpoons \mathbf{Y}(s)+\mathbf{Z}(g)$, the plot of $\ln \frac{p_{\mathbf{Z}}}{p^{\theta}}$ versus $\frac{10^{4}}{T}$ is given below (in solid line), where $p_{\mathbf{Z}}$ is the pressure (in bar) of the gas $\mathbf{Z}$ at temperature $T$ and $p^{\theta}=1$ bar.

(Given, $\frac{\mathrm{d}(\ln K)}{\mathrm{d}\left(\frac{1}{T}\right)}=-\frac{\Delta H^{\theta}}{R}$, where the equilibrium constant, $K=\frac{p_{z}}{p^{\theta}}$ and the gas constant, $\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ )

The value of standard enthalpy, Ho (in kJ mol-1) for the given reaction is ___.

Solution

Slop g the Given graph

d lnpzpϕd 104T=7+31210=2

d lnpzpϕd1T2×104=ΔHoR

ΔHo=2×104×R

=2×8.314×10 kJ/mol

=166.28

Asked in: JEE Advanced 2021 (Paper 1)

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