A sample of $(R)-\mathrm{CH}_{3} \mathrm{CH}(\mathrm{Cl}) \mathrm{CH}_{2} \mathrm{CH}_{3}$ reacts with
$\mathrm{CH}_{3} \mathrm{S}^{-}$ in dimethyl sulfoxide, and the resulting solution is optically active. (a) Write the formula of the product. (b) By which mechanism does this nucleophilic substitution reaction occur?