Half-life of first order reactions

[Nancy Le - 1F]

Is it correct to say that the greater the rate constant, the shorter the half-life is because it doesn't depend on the concentration of reactants?

[Julian Krzysiak 2K]

Yup, that is exactly correct!

From the book, "The half-life of a reactant that decays in a first-order reaction is characteristic of the reaction and independent of the initial concentration. It is inversely proportional to the rate constant of the reaction."

[Allison Young 1K]

Yes, the half-life decreases as the rate constant increases.

[Ya Gao]

Yes and it not only works for first order reactions. It is the case for all reactions.