Kinetics of Simple Rate Laws: A Summary

Consider the reaction of A -> Products.
The rate of this reaction is defined as the negative time rate of change of the reactant concentration or

If the reaction had a more complicated stoichiometry, it will still have a rate that can be defined in terms of any one of the reagents or products.
For instance, if a reaction 2A + 3B -> C + 4D is observed, the rate of that reaction is defined as:

The kinetics of any reaction depend on the reaction mechanism, or rate law, and the initial conditions. If we assume for the reaction A -> products there is there is an initial concentration of reactant of [A]0 at time t=0, and the rate law is an integral order in A, then we can summarize the kinetics of the reaction as follows:
Zeroth Order First Order Second Order
Rate Law
Integrated Rate Law
Units of Rate Constant   {k}
Linear Plot [A]  vs.  t ln([A])  vs.  t 1/[A]  vs.  t
Half-life

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