# Is the rate of an SN1 reaction really independent of the type of nucleophile?

Suppose we take two reactions

$\ce{(CH3)3CCl + H_2O \rightarrow (CH3)3COH +HCl}$

$\ce{(CH3)3CCl + CH3OH \rightarrow (CH3)3COCH3 +HCl}$

I know in $\mathrm{S_N1}$ reactions the RDS (Rate Determining Step) is the formation of a carbocation intermediate.

But I am quite certain that methanol is a more bulky and weaker nucleophile, as compared to water. Should that make the rate of the second reaction lower than the first reaction (after the RDS is crossed)?

The key concept here is that both steps of the reaction are happening simultaneously, not sequentially. The steady state theory says that there will always be a pretty small amount of carbocation in the reaction mixture that will be stable over time. The faster it is generated, the faster it will be consumed. Therefore the reaction rate is only dependent of the carbocation generation rate, as long as this step is significatly slower than the formation of the final product, enough to make the time of this second process negligible.

Nope, the rates wouldn't be affected, even if the nucleophiles used are different (though if you're dealing with highly concentrated reactants, it might be a different story...).

Judging from the way you framed the question, you probably already know a fair deal about both the Unimolecular and Bimolecular Nucleophilic Substitution (SN) reactions. So I won't start from scratch.

In the SN1 case, as the name would suggest, the rate depends on only one concentration factor, namely the substrate. You already (correctly) mentioned that a carbocation intermediate is formed. At this stage, its just a matter of whether the nucleophile performs a 'frontal attack' or a 'rear attack', and doesn't really involve the nucleophilicity or the size (at least not much in your example) of the nucleophile. This is different from the SN2 reaction, which requires species with high nucleophilicity and appropriate size to react (rear attack) with the substrate, leading to an unstable transition state.