Final answer:
To determine the initial concentration of A in a second-order reaction, rearrange the rate equation and solve for the unknown concentration. In this case, the initial concentration of A is 0.58 M.
Step-by-step explanation:
To determine the initial concentration of A, we can use the rate equation for a second-order reaction, which is rate = k[A]2. Given that the rate constant (k) is 0.033 M-1s-1 and the concentration of A at 28 s is 0.29 M, we can rearrange the rate equation to solve for the initial concentration of A. Plugging in the known values, we have:
rate = k[A]2
0.033 M-1s-1 = (0.29 M - x)2
Solving for x, we find that the initial concentration of A is 0.58 M.