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Neopentyl bromide undergoes nucleophilic substitution reaction very slowly.
$\log{k}=14.2-\frac{\text{1.0}\times\text{10}^{4}}{\text{T}}K$
Calculate Ea for this reaction and rate constant k if its half-life period be 200 minutes.
(Given: R = 8.314 J K–1 mol–1)