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I think when are there are multiple reactants, we treat the reaction as a pseudo-reaction. It's difficult to study a reaction when the concentrations of multiple reactants are changing, so we let one reactant change and keep the others constant.
A reaction which is not first-order reaction naturally but made first order by increasing or decreasing the concentration of one or the other reactant is known as Pseudo first order reaction. In pseudo-first order reactions, we are basically isolating a reactant by increasing the concentration of the other reactants. When the other reactants are in excess, change in their concentrations does not affect the reaction much, Therefore, now the reaction only depends on the concentration of the isolated reactant. The concentrations of all the other reactants are taken as constant in the rate law. Thus, the order of reaction becomes one. Hope this clarifies it a bit.
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