Consider the reaction (CH3)(C2H5)(C6H5)C–Br+  KOH (aq)→ (CH3)(C2H5)(C6H5)C–OH Q.25 If the concentration of KOH in the reaction mixture is doubled, the rate of the reaction will be Options: (A) decreased to one-half (B) the same (C) increased by two-times (D) increased by four-times

Consider the reaction

(CH3)(C2H5)(C6H5)C–Br+  KOH (aq)→ (CH3)(C2H5)(C6H5)C–OH

Q.25

If the concentration of KOH in the reaction mixture is doubled,
the rate of the reaction will be

Options:

(A) decreased to one-half

(B) the same

(C) increased by two-times

(D) increased by four-times

Effect of KOH Concentration on Reaction Rate in SN1 Reaction

In organic chemistry, the rate of a reaction depends on the reaction mechanism.
This problem analyzes the effect of doubling the concentration of aqueous KOH
on a substitution reaction involving a tertiary alkyl halide.

Given Reaction

(CH3)(C2H5)(C6H5)C–Br+ KOH(aq)→(CH3)(C2H5)(C6H5)C–OH

Correct Answer

(B) The same

Reaction Mechanism Explanation

The given compound is a tertiary alkyl bromide. Tertiary alkyl
halides generally undergo SN1 reactions because
steric hindrance prevents SN2 attack.

In an SN1 reaction, the rate-determining step is the formation of a
carbocation:

Rate ∝ [Alkyl Halide]

The nucleophile (OH) does not participate in the rate-determining step.
Therefore, changing the concentration of KOH does not affect the reaction rate.

Option-wise Explanation

(A) Decreased to one-half
Incorrect. The rate of an SN1 reaction does not depend on nucleophile concentration.

(B) The same
Correct. SN1 reactions are first-order and depend only on the alkyl halide.

(C) Increased by two-times
Incorrect. This applies to SN2 reactions, not SN1.

(D) Increased by four-times
Incorrect. SN1 reactions have zero-order dependence on KOH.

Final Conclusion

Since the reaction follows an SN1 mechanism, doubling the concentration
of KOH has no effect on the rate of reaction.

Correct Option: (B) The same

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