The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain after 4000 years?

1 Answer

a_n=17.486" "milligrams

Explanation:

The half life =1590" "years

t_0=100" "time=0
t_1=50" "time=1590
t_2=25" "time=2(1590)
t_3=12.5" "time=3(1590)

a_n=a_0*(1/2)^n

1 " period"=1590" " years

n=4000/1590=2.51572327

a_n=100*(1/2)^(2.51572327)

a_n=17.486" "milligrams

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