Answer to Question #151338 in Physics for megan robson

Question #151338

a radioactive isotope has a half life of 6 yrs. a sample of this isotope has a mass of 12mg. what’s the mass of the isotope after 18 yrs?

Expert's answer

"N=N_0e^{-\\lambda t}\\to m=m_0e^{-\\lambda t}\\to m=m_0e^{-\\ln2\\cdot t\/T_{1\/2}}\\to"

"m=12e^{-\\ln2\\cdot 18\/6}=1.51(mg)"

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