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5 votes
5 votes
the half life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced by half its initial mass. starting with 125 grams of a radioactive isotope how much will be left after 6 half lives

User Clomp
by
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1 Answer

21 votes
21 votes

Okey, we are going to use the hlaf life formula, let's do it:


Nn=N_0((1)/(2))^n

Where:

N=6

Nn = quantity remaining after n half-lifes

No = initial quantity=125

Replacing we obtain:


N_6=125((1)/(2))^6=125((1)/(64))\approx1.95

Finally we obtain that the radioactive isotope will have 1.95 grams after 6 half lives.

User Nessur
by
3.4k points
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