Problem: The half-life of I-131 is 8 days. After 24 days of the original amount of I-131 remains. A. One halfB. One thirdC. One fourthD. One eighthE. One sixteenth

FREE Expert Solution

We’re being asked to determine how much of the original amount of I-131 is left after 24 days if the half-life of I-131 is 8 days.


Recall that radioactive/nuclear decay of isotopes follows first-order kinetics, and the integrated rate law for first-order reactions is:


ln [N]t=-kt+ln [N]0


where:

[N]t = concentration at time t

k = decay constant

t = time

[N]0 = initial concentration


Also, recall that half-life is the time needed for the amount of a reactant to decrease by 50% or one-half


The half-life of a first-order reaction is given by:


t12=ln 2k


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Problem Details

The half-life of I-131 is 8 days. After 24 days of the original amount of I-131 remains.

A. One half

B. One third

C. One fourth

D. One eighth

E. One sixteenth

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