Answer :
After 24 days, you will have 1/2 kg
It's a common occurrence for radioactive isotopes to spontaneously decay over time, shedding their radioactive atoms. The period of time it takes for any sample of an element to be reduced to half its initial amount is known as the half-life of a radioactive isotope. The differential equation
dNdt=kN(t)
describes the decay of such radioactive isotopes, where N(t) is the number of radioactive atoms of the element that are still present at time t and k is the decay constant.
The solution to the aforementioned differential equation is N(t) = N (0)ekt, where N (0) is the initial sample's initial number of atoms.
Keep in mind that the natural logarithm has the identity
a ln n=a ln n.
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