Chemistry - Chemical Kinetics Question with Solution | TestHub

For a reaction $2{\mathrm{NH}}_3(\mathrm{g})\to {\mathrm{N}}_2(\mathrm{g})+3{\mathrm{H}}_2(\mathrm{g})$, it is observed that $\frac{-\mathrm{d}\left[{\mathrm{NH}}_3\right]}{\mathrm{dt}}={\mathrm{k}}_1\left[{\mathrm{NH}}_3\right]$, $\frac{\mathrm{d}\left[{\mathrm{N}}_2\right]}{\mathrm{dt}}={\mathrm{k}}_2\left[{\mathrm{NH}}_3\right],\frac{\mathrm{d}\left[{\mathrm{H}}_2\right]}{\mathrm{dt}}={\mathrm{k}}_3\left[{\mathrm{NH}}_3\right]$. What is the relation between ${\mathrm{k}}_1,{\mathrm{k}}_2$ and ${\mathrm{k}}_3$ ?