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santosbeti90
29.01.2020 •
Mathematics
Radioactive isotope #1 has been kept for 1.5 years. originally, there were 100 grams and now there are 99.39 grams. when will there be 1 gram left?
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Ответ:
A(t) = A0e^(kt)
where A(t) is the amount of substance in time
A0 is the initial amount
k is the constant
t is the time
fist solve the value of k
99.39 = 100e^(1.5k)
k = -4.08 x 10^-3
t required to have 1 g is
1 = 100e^(-4.08 x 10^-3t)
solve for t
t = 1129 years
Ответ: