Problem: The half-life of Chromium-51 is 28 days. Starting with an original sample size of 12.0μg, calculate the number of days it will take for the radioactive isotope to drop to 1.50μg.

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FREE Expert Solution

We’re being asked to determine the time it takes for 12.0 μg of Chromium–51 to decrease to 1.50 μg


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



where:

[N]t = concentration at time t

k = decay constant

t = time

[N]0 = initial concentration.


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Problem Details

The half-life of Chromium-51 is 28 days. Starting with an original sample size of 12.0μg, calculate the number of days it will take for the radioactive isotope to drop to 1.50μg.


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