Chemistry - Chemical Equilibrium Question with Solution | TestHub

$\underset{{\mathrm{t}}_{\mathrm{e}\mathrm{q}}}{}\underset{1-\mathrm{\alpha }}{{\mathrm{H}}_2\mathrm{O}\left(\mathrm{g}\right)}\rightleftharpoons \underset{\mathrm{\alpha }}{{\mathrm{H}}_2\left(\mathrm{g}\right)}+\underset{\frac{\mathrm{\alpha }}{2}}{\frac{1}{2}{\mathrm{O}}_2\left(\mathrm{g}\right)}$
$\mathrm{\Delta }{\mathrm{n}}_{\mathrm{g}}=\frac{3}{2}-1=\frac{1}{2}$
${\mathrm{K}}_{\mathrm{P}}=\frac{{\mathrm{n}}_{{\mathrm{H}}_2}\times {\mathrm{n}}_{{\mathrm{O}}_2}^{1/2}}{{\mathrm{n}}_{{\mathrm{H}}_2\mathrm{O}}}\times {\left(\frac{\mathrm{P}}{\mathrm{\Sigma }\mathrm{n}}\right)}^{\mathrm{\Delta }{\mathrm{n}}_{\mathrm{g}}}$
$=\frac{\mathrm{\alpha }\times {\left(\frac{\mathrm{\alpha }}{2}\right)}^{1/2}}{(1-\mathrm{\alpha })}\times {\left(\frac{\mathrm{P}}{1+\mathrm{\alpha }/2}\right)}^{1/2}$
$=\frac{{\mathrm{\alpha }}^{3/2}{\mathrm{P}}^{1/2}}{(1-\mathrm{\alpha })(2+\mathrm{\alpha }{)}^{1/2}}$