Chemistry - Chemical Kinetics Question with Solution | TestHub

$\begin{array}{rl}& \text{ rate }={\mathrm{k}}_2[\mathrm{A}]\left[{\mathrm{B}}_2\right]\dots \dots \\ & \left(\frac{{\mathrm{k}}_1}{{\mathrm{k}}_{-1}}\right)=\left(\frac{[\mathrm{A}{]}^2}{\left[{\mathrm{A}}_2\right]}\right)\\ & \Rightarrow [\mathrm{A}]=\sqrt{\frac{{\mathrm{k}}_1}{{\mathrm{k}}_{-1}}}\cdot \sqrt{\left[{\mathrm{A}}_2\right]}\end{array}$ Substituting in (1) ; we get $\begin{array}{rl}& \text{ Rate }={\mathrm{k}}_2\sqrt{\frac{{\mathrm{k}}_1}{{\mathrm{k}}_{-1}}}\cdot {\left[{\mathrm{A}}_2\right]}^{\frac{1}{2}}\cdot \left[{\mathrm{B}}_2\right]\\ & \therefore \text{ order }=\left(\frac{3}{2}\right)=1.5\end{array}$