For the SN1 hydrolysis of (CH3)3C-Br in aqueous acetone, the concentration of the bromide is tripled and that of added OH- is quadrupled at constant temperature. The initial rate changes by a factor of

JEE Main levelSingle correct optionDifficulty 2 of 3o3012

For the SN1 hydrolysis of $(CH X_{3}) X_{3} C - Br$ in aqueous acetone, the concentration of the bromide is tripled and that of added $OH X^{-}$ is quadrupled at constant temperature. The initial rate changes by a factor of

For SN1 the rate law is

rate = k [RBr]

, with no dependence on

[OH X^{-}]

. Tripling

[RBr]

multiplies the rate by 3, while the fourfold change in hydroxide concentration has no effect, so the factor is

3 \times 1 = 3