Question

The half life of iron-59 is 44.5 days. How much of
a 50g sample would remain after 178 days?

Answer 1

If the half-life of a nuclide is 44.5 days, then 178 days is four half-lives.

Step-by-step explanation:

After four half-lives, 0.0625 (0.54) of the original nuclides remains. If 50g is the original mass, then the mass after 4 half-lives is 3.125g.

AT = A0 2(-T/H)

A178 = (50) 2(-44.5/178)

A178 = 3.125