Asked by Bree
If a radioactive isotope has half life of 5 days,how long will it take for its radioactive strength to be a maximum of one thousandth,(1/1000) of its original value?
Answers
Answered by
Damon
1/2 = e^-5k
ln .5 = -5 k
k = .1386
so
x = Xo e^-.1386 t
.001 = e^-.1386 t
-6.91 = -.1386 t
t = 49.8 days
check
about 10 five day periods
.5^10 = .000976
close enough to .001
ln .5 = -5 k
k = .1386
so
x = Xo e^-.1386 t
.001 = e^-.1386 t
-6.91 = -.1386 t
t = 49.8 days
check
about 10 five day periods
.5^10 = .000976
close enough to .001
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