The following bimolecular elimination reaction $(E_2)$ is carried out with different halogen leaving groups. The per cent yield of the two products ($2$-hexene and $1$-hexene) for each leaving group is listed below.
Leaving groupConj. Acid $pK_a$$\%$-yield of $2$-hexene$\%$-yield of $1$-hexene
$X = I$$-10$$81\%$$19\%$
$X = Br$$-9$$72\%$$28\%$
$X = Cl$$-7$$67\%$$33\%$
$X = F$$3.2$$30\%$$70\%$

Which of the following statement$(s)$ is/are true concerning this series of $E_2$ reactions?

  • A
    Based on the $pK_a$ values of the conjugate acid,$I^{-}$ is the best leaving group and $F^{-}$ is the poorest leaving group.
  • B
    When $I^{-}$,$Br^{-}$,and $Cl^{-}$ are used as leaving groups,Zaitsev's rule is followed.
  • C
    $F^{-}$ is the strongest base (and therefore the poorest leaving group) and the transition state for reaction with fluoride as the leaving group has the least double bond character.
  • D
    $a$,$b$,and $c$ are true.

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