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# Solution: Consider the reactionCl2 (aq) + H2S (aq) → S (s) + 2 H+ (aq) + 2 Cl - (aq)The rate equation for this reaction israte = k [Cl2] [H2S]Which of these mechanisms is (or are) consistent with this rate equation?I     Cl2 + H2S → H+ + Cl - + Cl+ + HS -          (slow)      Cl+ + HS - → H+ + Cl - + S                       (fast)II    H2S ⇌ H+ + HS -                                     (fast equilibrium)      Cl2 + HS - → 2Cl - + H+ S                         (slow) (A) I only(B) II only(C) Both I and II(D) Neither I or II

###### Problem

Consider the reaction

Cl(aq) + H2S (aq) → S (s) + 2 H(aq) + 2 Cl (aq)

The rate equation for this reaction is

rate = [Cl2] [H2S]

Which of these mechanisms is (or are) consistent with this rate equation?

Cl2 + H2S → H+ + Cl - + Cl+ + HS -          (slow)
Cl+ + HS - → H+ + Cl - + S                       (fast)

II    H2S ⇌ H+ + HS                                     (fast equilibrium)
Cl2 + HS - → 2Cl - + H+ S                         (slow)

(A) I only

(B) II only

(C) Both I and II

(D) Neither I or II

###### Solution

We’re being asked to determine the reaction mechanism that is consistent with the given rate law for this reaction:

Cl2(aq) + H2S(aq)  S(s) + 2 H+(aq) + 2 Cl(aq)

Recall that a reaction mechanism is a sequence of single steps that add up to the chemical reaction. The rate law of the reaction depends on the rate-determining step of the mechanism, which is the slow step in the mechanism

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