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(C) The reaction involves the solvolysis of the $ONS$ (nosylate) group,which is facilitated by Neighboring Group Participation $(NGP)$ from the double

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$(iii) > (ii) > (i)$

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(C) The reaction involves the solvolysis of the $ONS$ (nosylate) group,which is facilitated by Neighboring Group Participation $(NGP)$ from the double bond. As the number of electron-donating methyl groups on the double bond increases,the electron density of the alkene increases,making it a better nucleophile for $NGP$. Compound $(iii)$ has two methyl groups,$(ii)$ has one,and $(i)$ has none. Therefore,the nucleophilicity of the double bond follows the order: $(iii) > (ii) > (i)$. Consequently,the rate of reaction follows the same order: $(iii) > (ii) > (i)$.

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