Consider the reaction A --- products, and three hypothetical reactions all having the same numerical value for the rate constant, k. One of the reactions is zero order; one is first order; and one is second order. What must be the initial concentration of reaction, [A]0, if (a) the zero- and first-order; (b) the zero- and second-order; (c) the first- and second-order reactions are to have the same half-life?

Question

Consider the reaction A ---> products, and three hypothetical reactions all having the same numerical value for the rate constant, k. One of the reactions is zero order; one is first order; and one is second order. What must be the initial concentration of reaction, [A]0, if (a) the zero- and first-order; (b) the zero- and second-order; (c) the first- and second-order reactions are to have the same half-life?