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A unique rate is the change in concentration of a reactant or product divided by the stoichiometric coefficient. It is the same for each reactant/product in the reaction but is negative for the reactant and positive for the product.
Since the rates of formation/consumption for reactants and products are different due to their stoichiometric coefficients, the unique rate takes the stoichiometric coefficients into consideration to give us a rate that works overall rather than for a specific reactant or product.
If youre given the a small rate in a multi compound reaction then the one with the smallest rate has stoichiometric coefficient of 1 while the other rates will be relative to this value (x) divided by their own stoichiometric coefficients, which means all of these values will be equal to each other except the -/+ of reactants and products.
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