Mathematics
crazyduck401
30

Radium-226 has a half-life of 1620 years. for a 150 gram sample, how many grams will remain after 200 years?

+3
(1) Answers
mia34

ah, yes if you start with P amount of something and the half life is h units (in years) and the time elapsed is t (in years) then the amount left is A the equation is [latex]A=P(\frac{1}{2})^\frac{t}{h}[/latex] so given h=1620 P=150 t=200 so [latex]A=150(\frac{1}{2})^\frac{200}{1620}[/latex] [latex]A=150(\frac{1}{2})^\frac{10}{81}[/latex] use your calculator A≈137.69781917515g about 138grams left

Add answer