The bromination of acetone that occurs in acid solution is represented by this equation. CH3COCH3(aq) + Br2(aq) CH3COCH2Br(aq) + H+(aq) + Br-(aq) These kinetic data were obtained for given reaction concentrations. array|c|c|c|c| [CH3COCH3], M & [Br2], M & [H+], M & Initial rate, disappearance of Br2, M s-1 \ 0.30 & 0.05 & 0.05 & 5.7 10-5 \ 0.30 & 0.10 & 0.05 & 5.7 10-5 \ 0.30 & 0.10 & 0.10 & 1.2 10-4 \ 0.40 & 0.05 & 0.20 & 3.1 10-4 \ array Based on these data, the rate equation is
- Rate = k[CH3COCH3][Br2][H+]2
- Rate = k[CH3COCH3][Br2][H+]
- Rate = k[CH3COCH3][H+]
- Rate = k[CH3COCH3][Br2]
Answer
(3) Rate = k[CH3COCH3][H+]
Solution
Let Rate = k[CH3COCH3]x[Br2]y[H+]z
Expts 1 and 2: [Br2] is doubled, rate is unchanged y = 0
Expts 2 and 3: [H+] is doubled, rate becomes 1.2 10-45.7 10-5 2 times z = 1
Expts 1 and 4: ( 0.400.30 )x ( 0.200.05 )1 = 3.1 10-45.7 10-5
( 43 )x 4 = 5.44
( 43 )x = 1.36 43 x = 1
Rate = k[CH3COCH3][H+]
Answer: (3)