Rate laws and Keq stoichiometry

[The_Sunny_Doc]

Why can we use stoichiometric coefficients for creating the equilibrium expression (Keq), but not for writing the rate law?

The rate law exponents have to be determined by experiment, which I understand, but isn't there a case (a single step reaction) where you CAN use the stoichiometric coefficients in the rate law expression? Why does that work?

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[onedirection]

You can for the rate law if it's the rate determining step, but that's only if they give you the experimentally derived mechanism