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

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Answer 1 · 2016-06-20T09:23:15

#a_n=17.486" "#milligrams

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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