# SOLUTION: A sample of bismuth-210 decayed to 33% of its original mass after 8 days. (a)Find the half-life of this element. (b)Find the mass remaining after 12 days

Algebra ->  -> SOLUTION: A sample of bismuth-210 decayed to 33% of its original mass after 8 days. (a)Find the half-life of this element. (b)Find the mass remaining after 12 days      Log On

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 Question 258067: A sample of bismuth-210 decayed to 33% of its original mass after 8 days. (a)Find the half-life of this element. (b)Find the mass remaining after 12 daysFound 2 solutions by richwmiller, drk:Answer by richwmiller(10275)   (Show Source): You can put this solution on YOUR website!This is a math website. Please provide appropriate physics and/or chemistry formulas. Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!The decay function we need is (i) where A = final amount or percent of original, P = original portion, t = 1/2 life time, d = days. From the given information, we get (ii) solving for t we get (iii) (iv) (v) which is t ~ 12.7596966 so we can rewrite (i) as (vi) The half life is ~ 12.76 days -- If d = 12, we have the mass as (vii) (viii) (ix) after 12 days, we have 52.22% left