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Q. The order of $E_{2}$ elimination for alkyl halide is

Haloalkanes and Haloarenes

Solution:

The order of $E _{2}$ elimination for alkyl halide follows as $3^{\circ} R - L >2^{\circ} R - L >1^{\circ} R - L$.
Where $L=$ any leaving group.
This is because
(i) In $3^{\circ} R - L$, there is more number of $\beta-' H ' .$ So, the probablity of attack of base on $\beta-' H '$ is more and hence $E_{2}$ reactivity increases.
(ii) Secondly, the transition state of $E _{2}$ reaction is more stable in case of $E _{2}$ reaction is more hyperconjugation with its incipient double bond character and $\beta-$ ' $H$ '.
S.O. of $T_{s}$ of $E_{2}$ reaction.
image
So, $E _{2}$ reactivity order $3^{\circ} R - L >2^{\circ} R ->1^{\circ} R - L$