For a first-order reaction, the rate constant k can be calculated using the half-life t1/2 with the following equation:k = 0.693 / t1/2Given that the half-life of the reaction is 4 minutes, we can calculate the rate constant as follows:k = 0.693 / 4k 0.173 minSo, the rate constant for this first-order reaction is approximately 0.173 min.