 Narmeen Khan [Student]

2022-07-20

Kryton -85 is a radioisotope of krypton that has a half-life of about 10.75 years. This isotope is produced by the nuclear fission of uranium and plutonium in nuclear weapons and in nuclear reactors, as well as cosmic rays. An important goal of the Limited Nuclear Test Ban Treaty of 1963 was to eliminate the release of such radioisotopes into the atmosphere. At present, the activity of Krypton -85 in the atmosphere is about 135mCi.

How much Krypto -85 will be present in the atmosphere after 12,532 days? Jeffrey Jordon

Using an exponential function, it is found that 14.75 mCi of Krypton -85 will be present in the atmosphere after 12,532 days.

What is an exponential function?

A decaying exponential function is modeled by:

$A\left(t\right)=A\left(0\right){\left(0.5\right)}^{\frac{t}{h}}$

In which:

A(0) is the initial value.

h is the half life, in years.

t is the time, in years.

In this problem, the parameters are:

Hence the amount is:

$A\left(t\right)=A\left(0\right){\left(0.5\right)}^{\frac{t}{h}}$

$A\left(t\right)=135{\left(0.5\right)}^{\frac{34.334}{10.75}}$

14.75 mCi of Krypton -85 will be present in the atmosphere after 12,532 days.

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