For a first-order reaction, which expression describes the relationship between the rate constant, k, and the half-life, t_1/2?

Question

Quizplus · Accepted Answer

The half-life of a first-order reaction is given by the expression t_1/2 = ln 2 / k. This is derived using the integrated rate law for a first-order reaction, which is ln[A]t = -kt + ln[A]0. The half-life is the time at which half of the initial concentration has been consumed, so [A]t = 1/2[A]0. Substituting these values into the integrated rate law and solving for t gives t_1/2 = ln 2 / k. Therefore, Choice B is the correct answer.

For a First-Order Reaction, Which Expression Describes the Relationship Between