NEET UG 2008 — Chemistry Physical Chemistry

The bromination of acetone that occurs in acid solution is represented by this equation. $\mathrm{CH}_3 \mathrm{COCH}_3(a q)+\mathrm{Br}_2(a q) \longrightarrow \mathrm{CH}_3 \mathrm{COCH}_2 \mathrm{Br}(a q)+\mathrm{H}^{+}(a q)+\mathrm{Br}^{-}(a q)$CH3​COCH3​(aq)+Br2​(aq)⟶CH3​COCH2​Br(aq)+H+(aq)+Br−(aq) These kinetic data were obtained for given reaction concentrations. $$\begin{array}{|l|} \hline \text {Initial concentrations, } M & \\ \begin{array}{c|l|l|l} {\left[\mathrm{CH}_3 \mathrm{COCH}_3\right]} & {\left[\mathrm{Br}_2\right]} & {\left[\mathrm{H}^{+}\right]} & \text{Initial rate, disappearance of } \mathrm{Br}_2, \mathrm{Ms}^{-1} \\ \hline 0.30 & 0.05 & 0.05 & 5.7 \times 10^{-5} \\ 0.30 & 0.10 & 0.05 & 5.7 \times 10^{-5} \\ 0.30 & 0.10 & 0.10 & 1.2 \times 10^{-4} \\ 0.40 & 0.05 & 0.20 & 3.1 \times 10^{-4} \end{array} \\ \hline \end{array}$$Initial concentrations, M[CH3​COCH3​]0.300.300.300.40​[Br2​]0.050.100.100.05​[H+]0.050.050.100.20​Initial rate, disappearance of Br2​,Ms−15.7×10−55.7×10−51.2×10−43.1×10−4​​​​ Based on these data, the rate equation is