Chemistry - Chemical Kinetics Question with Solution | TestHub

Key Idea Rate of appearance/disappearance $$=\pm \frac{1}{\begin{array}{l}\text{ stoichiometric }\\ \text{ coefficient }\end{array}}\times \frac{\text{ [reactant or product] }}{\text{ time taken }}$$ For reaction, $$\begin{array}{rl}{\mathrm{BrO}}_3^{-}(\mathrm{aq})+5{\mathrm{Br}}^{-}(\mathrm{aq})+6{\mathrm{H}}^{+}⟶& 3{\mathrm{Br}}_2(1)\\ & +3{\mathrm{H}}_2\mathrm{O}(\mathrm{l})\end{array}$$ Rate of appearance of bromine $\left({\mathrm{Br}}_2\right)$ $$=+\frac{1}{3}\frac{\mathrm{d}\left[{\mathrm{Br}}_2\right]}{\mathrm{dt}}$$ Rate of disappearance of bromide ion $\left({\mathrm{Br}}^{-}\right)$ $$=-\frac{1}{5}\frac{\mathrm{d}\left[{\mathrm{Br}}^{-}\right]}{\mathrm{dt}}$$ or $\frac{\mathrm{d}\left[{\mathrm{Br}}_2\right]}{\mathrm{dt}}=-\frac{3}{5}\frac{\mathrm{d}\left[{\mathrm{Br}}^{-}\right]}{\mathrm{dt}}$