What are the purposes and meanings of constants in scientific equations?

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Constants in scientific equations serve critical roles beyond mere functionality; they represent specific physical quantities that influence the behavior of the system being studied. In the context of reaction rates, the constant 'k' is essential for quantifying the relationship between reactant concentrations and reaction speed, although it varies with the order of the reaction, leading to different units. Understanding these constants is vital for accurately interpreting and comparing reaction kinetics across different scenarios.

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What exactly are constants? Are they just used to make the equation work or is there something more meaningful than this? Right now I am studying rate of reactions and they go something like this:

rate = k [A]^x ^y

It seems like k is only there to make the equation work. It would seem like k is the responsiveness of rate to concentration. But this becomes meaningless when comparing two reaction of different orders; they take on different units for different orders.
 
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