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Do the terms "first-order" and "second-order" only apply to the reaction as a whole and not to the reactants individually? Like if there were two reactants both with coefficients of 1, would we never call the rxn a 2nd-order rxn with two 1st-order reactants?
You can refer to the order of individual reactants as well as the order of the reaction. The overall order of the reaction is the sum of the orders of each reactant. So, if each reactant has order 1 then the order of the reaction is 2.
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