I was given the following word problem:
If the half-life of a certain isotope is four years, what a fraction of a sample of that isotope will remain after 12 years?
This was simple for me. 12 years is equivalent to exactly 3 half-lives therefore 1/8 of the original sample amount remains.
But then I thought, what if a “non half-life” amount time passes? Not just like a different amount of years, but like months or days or something.
For example, if half of a half-life passes, does that mean 3/4 of the original sample remains?