Chemistry Practice Problems Integrated Rate Law Practice Problems Solution: Given the following diagrams at t = 0 and t = 30, ...

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

Problem

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?

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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