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Q. The rate of the reaction
image
is influenced by the hyperconjugation effect of group $R$. If $R$ sequentially is
I. $\quad CH _{3}-$
II. $CH _{3}- CH _{2}-$
III. $H_3C -\underset{CH}{\underset{|}{CH_3}}$
Iv.image
the increasing order of speed of the above reaction is

Organic Chemistry – Some Basic Principles and Techniques

Solution:

More the number of $H$ -atoms on the $\alpha$ -carbon of the group $R,$ more are the hyperconjugating structures, weaker is the $C - Br$ bond and hence, higher is the rate of the reaction. Now since $CH _{3}$ has three, ethyl has two, iso-propyl has one and tert-butyl group has no $\alpha$ -hydrogen therefore, hyperconjugation effect decreases and hence the rate decreases in the same order.