Reaction MechanismmediumNUMERICAL

In a standard reaction obeying second-order kinetics, if the concentration of the alkyl halide substReaction Mechanism Chemistry Question

Question

In a standard $S_N2$ reaction obeying second-order kinetics, if the concentration of the alkyl halide substrate is tripled and the concentration of the attacking nucleophile is simultaneously doubled, by what numerical factor will the rate of the reaction increase?

Answer: 6

💡 Solution & Explanation

The rate law for a single-step $S_N2$ reaction is given by $\text{Rate} = k[\text{Substrate}][\text{Nucleophile}]$. If $[\text{Substrate}]$ becomes $3 \times [\text{Substrate}]$ and $[\text{Nucleophile}]$ becomes $2 \times [\text{Nucleophile}]$, the new rate calculation is $k(3[\text{Substrate}])(2[\text{Nucleophile}]) = 6 \times k[\text{Substrate}][\text{Nucleophile}]$. The overall rate increases by a factor of $6$.

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