Q. The relative reactivities of acyl compounds towards nucleophilic substitution are in the order of

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Solution:

Acylchloride Acid anhydride Ester Amide
The ease of nucleophilic substitution depends upon the nature of leaving group. When the leaving tendency of a group in a compound is high, then the compound is more reactive towards nucleophilic substitution.
The nucleophilic acyl substitution is completed in step. The reactivity of the compound may be explained by the basicity of leaving the group. A weaker base is a better leaving group.
The order of basicity is as;

Hence order of leaving tendency is and therefore the order of reactivity of acyl compound is as;
Acylchloride Acid Anhydride Ester Amide