108k views
2 votes
A first order reaction is 30% complete at the end of 62 minutes. What is the value of k?

k(1/min) number (rtol=0.03, atol=1e-08)

User Dukebody
by
8.0k points

1 Answer

3 votes

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.

User Joseph Ferris
by
7.3k points