leahpink leahpink

22-01-2017
Mathematics

Answered

a half life of Carbon-14 is 5700 years, if you started with 200 gram sample of carbon-14, how much C-14 would be left after 28500 years? please show how to.

Verified Answer :

22-01-2017

Apply the relation between half life and radiactive decay constant,

\(\lambda=\ln(2)/T_{1/2}\)

Then, use the relation of radioactive desintegration,

\(N=N_0e^{-\lambda t}\)

In this case, using the mass as N0, you will obtain,

\(N=6.25\ \ g\)

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