The reaction between ethyl bromide and sodium cyanide in acetone is most likely an SN2 reaction that is characterized by a strong nucleophile and polar aprotic acetone.
The SN2 mechanism is the reaction that is generally seen in organic compounds and is characterized by the breaking and forming of chemical bonds synchronously. It is based on nucleophilic substitution.
The reaction between ethyl bromide and sodium cyanide is SN2 as it has a strong nucleophile and acetone act as a polar solvent. Ethyl bromide is an alkyl halide that has leaving group for the substrate.
Therefore, it is an SN2 reaction mechanism.
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