Mechanism A:
The slow (rate-determining) step is:
Cl₂ + H₂S → ⋯
Hence,
rate = k[Cl₂][H₂S]
This matches the given rate law.
Mechanism B:
From the fast equilibrium:
[HS⁻] = K[H₂S]
Rate-determining step:
rate = k[Cl₂][HS⁻]
= k'[Cl₂][H₂S]
However, since HS⁻ is an intermediate explicitly appearing, the mechanism does not directly justify the observed rate law without assumptions.
Thus, only mechanism A is consistent.