Chemistry - Chemical Kinetics Question with Solution | TestHub

For the reaction,

$2{\mathrm{X}}_3\rightleftharpoons 3{\mathrm{X}}_2$

Rate of disappearance of$\left[{\mathrm{X}}_3\right]=-\frac{\mathrm{d}\left[{\mathrm{X}}_3\right]}{\mathrm{d}\mathrm{t}}$

Rate of appearance of${\mathrm{X}}_2=+\frac{\mathrm{d}\left[{\mathrm{X}}_2\right]}{\mathrm{d}\mathrm{t}}$

Rate of reaction,$-\frac{\mathrm{d}\left[{\mathrm{X}}_3\right]}{2\mathrm{d}\mathrm{t}}=\frac{\mathrm{d}\left[{\mathrm{X}}_2\right]}{3\mathrm{d}\mathrm{t}}$

So rate of appearance of${\mathrm{X}}_2=\left[\frac{\mathrm{d}\left[{\mathrm{X}}_2\right]}{\mathrm{d}\mathrm{t}}\right]$

$=\frac{3}{2}\left(-\frac{\mathrm{d}\left[{\mathrm{X}}_3\right]}{\mathrm{d}\mathrm{t}}\right)$