b) Show that time required for a first order reaction to complete 99.9% reaction is approximately 10 times its half life period.

Question

b) Show that time required for a first order reaction to complete 99.9% reaction is approximately 10 times its half life period.
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Solution 1

For a first order reaction, the rate of reaction is directly proportional to the concentration of the reactants. The mathematical expression for a first order reaction is:

k = 1/t * ln([A]0/[A])

where: k = rate constant t = time [A]0 = initial concentration [A] = concentration at time t

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