STD 12 - 8.2 Carboxylic acids and their derivative — NEET STD 11 Science — Question

$k = A{e^{ - {E_a}/RT}}$

The activation energy $E_a$ of the reaction can be calculated by plotting

$\begin{align}
   \begin{matrix}
   O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,  \\
   ||\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,  \\
   H-O-C-C{{H}_{2}}-C{{H}_{2}}-CH-C{{O}_{2}}H  \\
   \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,|  \\
   \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underset{\oplus }{\mathop{N}}\,{{H}_{3}}  \\
\end{matrix}\,\,\,\,\,(p{{K}_{a}}=2) \\ 
  (p{{K}_{a}}=4)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(p{{K}_{a}}=9) \\ 
\end{align}$

$Cl_2(aq)+H_2SO_4(aq) \rightarrow S(s)+2H^+(aq)+2Cl^-$

The rate equation for this reaction is

rate $=k[Cl_2][H_2S]$

Which of these mechanisms is/are consistent with this rate equation ?

$A.\,\, Cl_2 + H_2S \rightarrow H^+ + Cl^- + Cl^+ + HS^-\,\, (slow)$

        $Cl^+ +HS^- \rightarrow H^+ +Cl^- +S \,(fast)$

$B.\,\, H_2S \rightleftharpoons  H^+ + HS^-\,$ (fast equilibrium)

       $Cl_2^+ + HS^- \rightarrow  2CI^- + H^+ + S\,\, (Slow)$