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Working with the Half Life Equation

Can you please explain how we are using the half life equation in this question? to get mass in grams after 13 days. The question is as follows:

Gallium-67 (t 1/2 = 78.25 hours) is used to diagnose certain tumors. If you ingest 0.055 mg of 67 GA what mass will remain in 13 days.

I started out using the integrated rate law to get K must have K to do half-life equation correct? and then to the 1/2 life equation. Do hours always have to be converted to seconds?


Solution Preview

We have the half-life equation as,

t_1/2 = 0.693/lambda where lambda is the disintegration constant

==> lambda = ...

Solution Summary

The solution provides and easy to follow explanation of the concepts and gives all mathematical steps wherever necessary.