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Rate constant is the comparative rates of reaction and product while rate is the measurement of how fast or slow a reaction occurs. A rate constant only changes with temperature but rate is affected by change in k or concentration.
The rate constant shows the relation between the concentration of a reactant and the rate of a reaction. The rate of a reaction depends on the concentration of the reactant with a proportionality constant of the rate constant. Because the proportionality between the rate of the reaction and the concentration does not change, the rate constant remains unchanged. The rate, however, depends on the concentration of the reactant and will change over time as the concentration of the reactants and products change if the reverse reaction occurs and the products stay in the reaction, unlike gases that can leave the reaction.
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