Chemical Kinetics - Rate law

4 important questions on Chemical Kinetics - Rate law

What is a (non-)elementary reaction?

A reaction that can be broken up in more elementary reactions. An elementary reaction represents a single molecular event and is not made up of simpeler events.

Is there a relationship between the order of a reactant in the rate law and its stoichiometric coefficient in the reaction equation?

In general there is no direct relationship between the order of a reactant in the rate law and its stoichiometric coefficient in the reaction equation. 
text-decorationBut  with elementary reactions there is a direct relationship, so the reaction order of an elementary reaction equals its molecularity

What discribes the ratw law?

How the reaction depends on the concentrations of the different species occuring in the reaction

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Chemical reactions usually speed up with temphis can be explained in erature. How can this be explained?

This can be explained in terms of a transition state or activation barrier.

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