The bromination of acetone that occurs in acid solution is represented by this equation. CH ₃ COCH ₃(a q)+ Br ₂(a q) CH ₃ COCH ₂ Br (a q)+ H ⁺(a q)+ Br ⁻(a q) These kinetic data were obtained for given reaction concentrations. array |l| Initial concentrations, M & array c|l|l|l [ CH ₃ COCH ₃ ] & [ Br ₂ ] & [ H ⁺ ] & Initial rate, disappearance of Br ₂, Ms ⁻¹ 0.30 & 0.05 & 0.05 & 5.7 10⁻⁵ 0.30 & 0.10 & 0.05 & 5.7 10⁻⁵

Step-by-step solution

Key Idea : By comparing the rate and concentration the order of the reaction can be calculated Let the rate of the reaction wrt [ CH ₃ COCH ₃ ] , [ Br ₂ ] and [ H ⁺ ] are x, y and z respectively. Thus, Rate [ CH ₃ COCH ₃ ]^x [ Br ₂ ]^y [ H ⁺ ]^z5.7 10⁻⁵=[0.30]^x[0.05]^y[0.05]^z5.7 10⁻⁵=[0.30]^x(0.10)^y(0.05)^z1.2 10⁻⁴=[0.30]^x(0.10)^y(0.10)^z3.1 10⁻⁴=[0.40]^x(0.05)^y(0.20)^z From Eqs (i) and (ii) y=0 From Eqs (ii) and (iii) z=1 From Eqs (i) and (iv) x=1 Thus, rate law [ CH ₃ COCH ₃ ] [ H ⁺ ]=k [ CH ₃ COCH ₃ ] [ H ⁺