Chemistry - Thermodynamics - II Question with Solution | TestHub

For the reaction$\mathrm{C}\mathrm{a}\mathrm{C}{\mathrm{O}}_3\rightleftharpoons \mathrm{C}\mathrm{a}\mathrm{O}\left(\mathrm{s}\right)+\mathrm{C}{\mathrm{O}}_2\left(\mathrm{g}\right);\mathrm{K}={\mathrm{P}}_{\mathrm{C}{\mathrm{O}}_2}$
${\text{ΔG}}^{\text{o}}\text{=}-\text{RTlnK}\mathrm{...}\text{(i)}$
${\text{ΔG}}^{\text{o}}\text{=}{\text{ΔH}}^{\text{o}}-{\text{TΔS}}^{\text{o}}\mathrm{...}\text{(i)}$
Now, by equating above two equations.
$\text{lnK}\text{=}\frac{-{\text{ΔH}}^{\text{o}}}{\text{RT}}\text{+}\frac{{\text{ΔS}}^{\text{o}}}{\text{R}}$
$\Rightarrow \text{log}\text{K}\text{=}\frac{-{\text{ΔH}}^{\text{o}}}{\text{2}\text{.303}\text{R}}\text{×}\frac{\text{1}}{\text{T}}\text{+}\frac{{\text{ΔS}}^{\text{o}}}{\text{2}\text{.303}\text{R}}$