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There is no difference between them they are same rate constant is another name of specific rate constant
One factor that affects the rate of absorption is the molecule size. Particle size, lipid water solubility, and the degree of ionization are also three other factors that affect the rate of absorption.
constant rate means that rate which is fixed and can not be changed. varying rate is that rate which is not fixed and can be change easily.
The reaction rate is the rate at which the moles of substance change that varies with both temperature and concentration of the reactants. The specific rate constant is a proportionality constant that will vary only with temperature.
I depends on the problem. The rate constant is different depending on the problem in which it occurs.