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First order rate constant k is described in V=k[EA] while second order rate constant is given as V=k[E][A]. For reactions that do not have true order, k is the apparent rate constant.
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A relative rate constant the rate at which a reaction will take place. Ex. V = k [A][B] the constant ,k, is a constant value for the rate of the reaction in said equation.
It means the same rate. Its going/moving at a constant rate.
The equation is xy = k where k is the constant of variation. It can also be expressed y = k over x where k is the constant of variation.