Final answer:
The reactivity of the given reactions is determined by the stability of the leaving group on the alkyl halide and the nucleophile. The reaction with the alkyl halide that has a stronger leaving group or a more reactive nucleophile will occur faster.
Step-by-step explanation:
In each of the given reactions, the reactivity can be determined by considering the leaving group on the alkyl halide and the nucleophile. A good leaving group is one that can stabilize the negative charge that forms on it after it leaves. In general, the order of leaving group reactivity is I > Br > Cl > F. Therefore, in all of the given reactions, the reaction with the alkyl halide that has a stronger leaving group or a more reactive nucleophile will occur faster.
(a) CH₃CH₂CH₂CH₂I will react faster because iodine (I) is a better leaving group than bromine (Br).
(b) 1-Chloro-2-methylbutane will react faster because the longer carbon chain of 1-chloropentane leads to weaker C-Br bond strength.
(c) Cyclohexyl chloride will react faster because the ring strain in cyclohexane makes it a more reactive nucleophile than hexyl chloride.
(d) Solvolysis of tert-butyl bromide will occur faster because the formation of a tertiary carbocation is more stable than a secondary carbocation formed in the solvolysis of 1-bromo-2,2-dimethylpropane.
(e) Solvolysis of sec-butyl bromide will occur faster because the secondary carbocation formed is more stable than the primary carbocation formed in the solvolysis of isobutyl bromide.
(f) Reaction of 1-chlorobutane with sodium acetate in acetic acid will occur faster because acetate ion is a better nucleophile than methoxide ion.
(g) Reaction of 1-chlorobutane with sodium azide will occur faster because azide ion is a stronger nucleophile than p-toluenesulfonate ion.