Final answer:
The time at which the concentration of reactant A will be 0.150 M is 20 minutes.
Step-by-step explanation:
The given data shows the concentration of reactant A at different time intervals. To calculate the time at which the concentration of reactant A will be 0.150 M, we can use the integrated rate law for a second-order reaction, which is: [A] = [A]0 / (1 + k[A]0t). Rearrange the equation to solve for time: t = ([A]0 / [A] - 1) / (k[A]0). Plugging in the values where [A]0 = 0.500 M, [A] = 0.150 M, and k = 0.031 M−1⋅min−1, we get:
t = (0.500 / 0.150 - 1) / (0.031 * 0.500) = 20 minutes