The Tale of Two Pathways: SN1 vs E2
Imagine you have a molecule of tertiary butyl bromide (t-BuBr). It is a bulky, sterically hindered substrate. When you introduce a base like the hydroxide ion (OH⊖), two completely different chemical stories can unfold depending on the environment.
The SN1 Pathway
A Solo Journey
In Reaction 1, the solvent is water (H2O), which is highly polar and protic. This environment stabilizes ions beautifully. The rate law given is:
Notice something missing? The concentration of the hydroxide ion is nowhere to be found in the rate equation! This is the hallmark of a first-order, unimolecular nucleophilic substitution (SN1) reaction.
In this mechanism, the rate-determining step is the slow, agonizing departure of the bromide ion to form a tertiary carbocation. The base is just waiting in the wings. Because the base is not involved in this critical slow step, changing the concentration of the base will have absolutely no effect on the rate of Reaction 1.
The E2 Pathway
The Concerted Attack
Now, let's look at Reaction 2. The solvent is ethanol (C2H5OH), which is less polar. The rate law changes dramatically:
This is a second-order, bimolecular elimination (E2) reaction. Here, the hydroxide ion doesn't wait. It aggressively attacks a beta-proton at the exact same time the bromide ion leaves. It is a concerted, synchronized dance. Because the base is actively participating in the rate-determining step, any change in the concentration of the base will directly affect the rate of Reaction 2.
Evaluating the Options
Armed with this kinetic knowledge, the options become clear:
(a) Changing the base to a stronger alkoxide (⊖OR) would definitely speed up the E2 reaction. (False)
(b) Changing the concentration of the base has no effect on the SN1 reaction (Reaction 1) because the base is not in the rate law. (True)
(c) Doubling the base concentration will only double the rate of Reaction 2, not Reaction 1. (False)
(d) Changing the base concentration will absolutely affect Reaction 2. (False)
Therefore, the correct statement is that changing the concentration of the base will have no effect on Reaction 1.