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What is the reason for these compounds to undergo SN1 , SN2 or both mechanisms?
1-chloropropanone(chloroacetone), benzyl chloride, bromobenzene, bromocyclopentane, bromocyclohexane, 2-bromobutane, 2-chlorobutane, 1-chlorobutane, 2-chloro-2-methylpropane

Answer
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Hint :In SN2 reaction mechanism, the biggest barrier is steric hindrance. In SN1 reactions, the barrier is the stability of the carbocation formed after the leaving group leaves. These factors along with the environmental conditions decide which mechanism the compound would undergo.

Complete Step By Step Answer:
We know that steric hindrance is the biggest barrier for SN2 reactions, as the nucleophile attacks the backside of the compound. So due to their structure, the order of reactivity of the alkyl halide to undergo SN2 mechanisms are 1>2>>3(worst) .
Also, for SN1 reactions, the stability of the carbocation formed after the departure of the leaving group is the barrier. We are aware that tertiary carbocation is more stable than the secondary which is more stable than primary carbocation. So, the order of reactivity towards SN1 mechanisms is 3>2>>1(worst) .
Here are the structures of the compounds given. Using the above rules, we can see that bromobenzene cannot undergo either of the reactions, because the carbocation formed is not stable and the nucleophile also will experience steric hindrance due the pi-bonds.
1-chloropropanone(chloroacetone), benzyl chloride and 1-chlorobutane will undergo SN2 mechanism as they are primary alkyl-halides. Bromocyclopentane, bromocyclohexane and 2-bromobutane, 2-chlorobutane can undergo either of the mechanisms as they are secondary alkyl-halides. Moreover, it depends on the nucleophile and other conditions. 2-chloro-2-methylpropane can undergo SN1 reaction, as it is a tertiary alkyl-halide.
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Note :
Remember to look for the degree of the carbon atom to which the leaving group (halogen) is attached to determine the possibility of the compound to undergo either of the mechanisms. Also, remember that the nucleophile also plays a very important role in determining the type of reaction. SN2 tends to proceed with strong nucleophiles, whereas SN1 mechanism happens when the nucleophile is weak.