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A rate law explains the rate of reactions according to parameters given. A differential rate law is helpful for explaining the rate at a certain time. The integrated rate law is helpful for finding a time where an amount of material exists and the 1/2 life laws help to explain half lives. All use concentrations according to mols present within the reaction ( due to stoichiometry) and all relate to the equilibrium constant k in some way. Because of a rate law's dependence on k, many are unique to the specific reactions that each describe.
Also remember, The value of this coefficient k will vary with conditions that affect reaction rate, such as temperature, pressure, and surface area. A smaller rate constant indicates a slower reaction, while a larger rate constant indicates a faster reaction.
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