Reaction Rate of 4HCl + 4NaS2O3 -> Effects on Reaction

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The discussion centers on the experimental determination of the reaction rate for the reaction between hydrochloric acid (HCl) and sodium thiosulfate (NaS2O3). The observed rate law indicates that the reaction rate is proportional to the concentration of NaS2O3 raised to the first power and the concentration of HCl raised to the second power, suggesting that HCl has a more significant influence on the reaction rate than NaS2O3. A participant expresses curiosity about how two reactants in equal proportions can affect the reaction rate differently, proposing a hypothetical reaction mechanism with multiple steps. The conversation highlights the complexity of interpreting reaction mechanisms and emphasizes the challenge of correlating stoichiometry with reaction rates, as well as the relationship between reaction rates and free energies.
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I experimentally determined the reaction rate of the following reaction:

4HCl(aq) + 4NaS2O3(aq) -> 4NaCl(aq) + 3S(s) + 5SO2(aq) + 2H2O(l)

and found that the rate was proportional to [NaS2O3]^1 and [HCl]^2

I know that it's probably too tricky to determine the reaction mechanism or rate determining step for this reaction. But I was wondering if someone could give me a simple example of how 2 reactants in equal proportions (e.g. 4HCl and 4NaS2O3) can affect the reaction rate differently from each other (e.g. []^1 and []^2) I would have thought they would both be ^1.
 
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ok I just thought of this:

first step: A + B <-> AB
rate determining step: A + AB -> AAB
third step: B + AAB -> final products

I guess it's plausible as a simple example
 
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Good enough --- the temptation to interpret mechanism in terms of stoichiometry rather than measured rates is as tough to overcome as the temptation to relate reaction rates to free energies of reactions.
 
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