Publisher: Chemical Society of Nigeria

Derivation of A Simplified Radioactive Decay Equation

C. E. Duru, A. A. Ayuk
KEYWORDS: Radioactive decay, Sequences and Series, Radioactive nuclide, Half-life.

ABSTRACT:

A simplified radioactive decay equation has been obtained by combining the principles of sequences and series with the radioactive decay equation. This equation given by, Nt = No (1/2) t/t½, was derived by combining the radioactive decay equation: Nt = No e –λt , and the equation for the nth term of a geometric progression given by, Tn = ar n-1 . The new equation serves as an easy tool for the calculation of the initial amount of a radioactive nuclide, the amount left after a given time (t), and the half-life t½ of the nuclide without these values being whole numbers.


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