This exercise uses the radioactive decay model. If 250 mg of a radioactive ele

Algebra
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This exercise uses the radioactive decay model. 

If 250 mg of a radioactive element decays to 190 mg in 24 hours, find the half-life of the element. (Round your answer to the nearest whole number.)

 hr

Apr 15th, 2015

250(1-d)24 =190

1-d = (190/250)(1/24)

d = 1-(190/250)(1/24) = 1-0.98863 =0.01137

(1-0.01137)n  = 0.5

n = ln(0.5)/ln(1-0.01137) = ln(.5)/ln(0.98863) =60.61 hours


Apr 15th, 2015

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