At 700 k, the rate constant for this reaction is 6.2 * 10-4 min-1. how many minutes are required for 10.0% of a sample of cyclopropane to isomerize to propene?

170 min

Step-by-step explanation:

We know that there is a kinetics of the first order, which has the following equation:

ln ([A] t / [A] o) = - k * t

Solving for t:

t = - ln ([A] t / [A] o) / k

How we want to know is the time required with 10%, so [A] t / [A] o = 100% - 10%, that is, 90% = 0.9. We also know that k = 6.2 * (10 ^ - 4)

Knowing this, we replace:

t = - ln (0.90) / 6.2 * (10 ^ - 4)

t = 170 min

Which means it will take 170 minutes.