Final answer:
To determine the value of k, we can use the integrated rate equation for a first-order reaction. Plug in the given values and solve for k.
Step-by-step explanation:
A first-order reaction is 30% complete at the end of 62 minutes. To determine the value of k, we can use the integrated rate equation for a first-order reaction:
ln([A]t/[A]0) = -kt
Since the reaction is 30% complete, [A]t/[A]0 = 0.30. Plugging in the values:
ln(0.30) = -k * 62
Solving for k:
k = -ln(0.30)/62
k is approximately 0.0230 min-1.