Problem: Given the following diagrams at t = 0 and t = 30, what is the half-life of the reaction if it follows first-order kinetics?

FREE Expert Solution

We are asked to find the half-life of the reaction from the diagram if it follows first-order kinetics.


The integrated rate law for a first-order reaction is as follows:


ln [N]t = -kt + ln [N]0


where:

[N]t = concentration of reactants at time t

k = decay constant

t = time

[N]0 = initial concentration


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Problem Details

Time equals 0 minutes: 16 O, 0 N. Time equals 30 minutes: 4 O and 12 N.

Given the following diagrams at t = 0 and t = 30, what is the half-life of the reaction if it follows first-order kinetics?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Integrated Rate Law concept. You can view video lessons to learn Integrated Rate Law. Or if you need more Integrated Rate Law practice, you can also practice Integrated Rate Law practice problems.

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Based on our data, we think this problem is relevant for Professor Wambsgans' class at DREXEL.