Consider the reaction, 

${\mathrm{Cl}}_2\left(\mathrm{aq}\right)+{\mathrm{H}}_2\mathrm{S}\left(\mathrm{aq}\right)\to \mathrm{S}\left(\mathrm{s}\right)+2{\mathrm{H}}^{+}\left(\mathrm{aq}\right)+2{\mathrm{Cl}}^{-}\left(\mathrm{aq}\right)$

The rate equation for this reaction is, 

Rate$=\mathrm{k}\left[{\mathrm{Cl}}_2\right]\left[{\mathrm{H}}_2\mathrm{S}\right]$

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

(I) ${\mathrm{Cl}}_2+{\mathrm{H}}_2\mathrm{S}\to {\mathrm{H}}^{+}+{\mathrm{Cl}}^{-}+{\mathrm{Cl}}^{+}+{\mathrm{HS}}^{-}\left(\text{slow}\right)$

${\mathrm{Cl}}^{+}+{\mathrm{HS}}^{-}\to {\mathrm{H}}^{+}+{\mathrm{Cl}}^{-}+\mathrm{S}\mathrm{\hspace{0.17em}}\left(\mathrm{fast}\right)$

(II) ${\mathrm{H}}_2\mathrm{S}\rightleftharpoons {\mathrm{H}}^{+}+{\mathrm{HS}}^{-}\left(\text{fast equilibrium}\right)$

${\mathrm{Cl}}_2+{\mathrm{HS}}^{-}\to 2{\mathrm{Cl}}^{-}+{\mathrm{H}}^{+}+\mathrm{S}\left(\text{slow}\right)$