Order of Reactions occurring in aqueous solutions

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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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