How to Find out the Half-life of a Radioisotope

Half-life is the time required for a quantity (of a substance) to reduce to half of its initial value.


One might make use of the disintegration equation to find the half-life of a radioisotope; however, there exists a shortcut for some problems if the data supports it.

Question:

If 93.75% of a sample of a pure radioisotope X decays in 24 days, what is the half-life (t1/2) of X?

Solution infographic:



Click to enlarge the image

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Reference:

Wikipedia Contributors. Half-life. Wikipedia. https://en.wikipedia.org/wiki/Half-life.

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