Order of Reactions occurring in aqueous solutions

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The discussion centers on the reaction between sodium thiosulphate and hydrochloric acid, which produces colloidal sulfur that obscures a cross beneath the reaction vessel, allowing for the measurement of reaction time based on varying concentrations of thiosulphate. The relationship between reaction time and concentration is explored, specifically how plotting 1/t against concentration results in a linear graph. This indicates a first-order reaction with respect to thiosulphate, as the rate of reaction is directly proportional to its concentration. The conversation also highlights the need for a deeper understanding of reaction kinetics in aqueous solutions, noting that many online resources focus on the practical aspects without addressing the theoretical underpinnings. John E. Straub’s lecture notes are mentioned as a potential resource for understanding the experimental determination of reaction orders through concentration variation.
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A well known rate of reaction experiment is the reaction between sodium thiosulphate and Hydrochloric acid in which colloidal Sulphur is produced. Over time this obscures a cross placed beneath the reaction vessel. Reaction time can then be measured for various concentrations of thiosulphate.

Plotting 1/t against concentration yields a (more or less) straight line graph and my question is what order of reaction is this ? And how does one derive it ? More generally, how is rate of reaction determined for any particular reaction occurring in aqueous solution ? There are a lot of internet videos showing the thiosulphate practical but none seem to discuss in any depth the theoretical reaction kinetics.
 
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