Final answer:
It would take approximately 1.045 seconds for the concentration to decrease from 0.770 M to 0.330 M using first order.
Step-by-step explanation:
The question asks how long it will take for the concentration to decrease from 0.770 M to 0.330 M using first order. To solve this, we need to use the integrated rate law for first-order reactions, which is:
[A]t = [A]0e^(-kt)
We can rearrange this equation to solve for time:
t = ln([A]t/[A]0) / -k
Plugging in the values, we have:
t = ln(0.330 M / 0.770 M) / -0.28 s^-1
t = ln(0.4286) / -0.28 = 1.045 s
Therefore, it would take approximately 1.045 seconds for the concentration to decrease from 0.770 M to 0.330 M using first order.