Sulphide ion in an alkaline solution reacts with solid sulphur to form polysulphide ions having formula${\mathrm{S}}_2^{{}^{2-}}, {\mathrm{S}}_3^{2-}, {\mathrm{S}}_4^{2-}, \mathrm{etc}. \mathrm{If} {\mathrm{K}}_1=12 \mathrm{for} \mathrm{S}+{\mathrm{S}}^{-2}\rightleftharpoons {\mathrm{S}}_2^{2-} \mathrm{and} {\mathrm{K}}_2=132 \mathrm{for} 2 \mathrm{S}+{\mathrm{S}}^{2-}\leftrightharpoons {\mathrm{S}}_3^{2-},$calculate ${\mathrm{K}}_3$ for $\mathrm{S}+{\mathrm{S}}_2^{2-}\rightleftarrows {\mathrm{S}}_3^{2-}$.

Determine ${\mathrm{K}}_{\mathrm{C}}$ for the reaction, $\frac{1}{2}{\mathrm{N}}_2 \left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{O}}_2 \left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{Br}}_2 \left(\mathrm{g}\right)\rightleftharpoons \mathrm{NOBr} \left(\mathrm{g}\right)$, from the following data at $298\mathrm{K}$.
$\left(\mathrm{i}\right) 2\mathrm{NO}\rightleftharpoons {\mathrm{N}}_2+{\mathrm{O}}_2; {\mathrm{K}}_{\mathrm{C}}=2.4\times {10}^{30}$

$\left(\mathrm{ii}\right) \mathrm{NO}+\frac{1}{2}{\mathrm{Br}}_2\rightleftharpoons \mathrm{NOBr}; {\mathrm{K}}_{\mathrm{C}}=1.4$

The variation of $\mathrm{logK}$ with $\frac{1}{\mathrm{T}}$ is shown in the following graph. $\mathrm{\Delta H}°$ for the reaction will be:

For the following isomerisation reaction:
Cyclohexane$\rightleftharpoons$ Hexene$-1,$ $\mathrm{K}=1.732$.

Which of the following statements holds good at point $\mathrm{A}$?

For the chemical equilibrium, ${\mathrm{CaCO}}_3 \left(\mathrm{s}\right) \rightleftharpoons \mathrm{CaO} \left(\mathrm{s}\right)+{\mathrm{CO}}_2 \left(\mathrm{g}\right), ∆\mathrm{H}°$ can be determined from which one of the following graphs?