Therefore, the radioactive decay constant represents the fraction of radioactive atoms that disintegrates in unit time. The quantity dN/N represents the fraction of the total number of atoms that disintegrate in time dt. The radioactive decay formula is given below the picture,įrom the above formula, – (dN/N)/dt = k = rate constant. ![]() ![]() If N 0 number of the atoms present at the time t = 0 and N number of atoms present after the time t. Therefore, dN/dt = – kN, where N = number of the atoms of the disintegrating radioactive element, dt = time over which the decay is measured, and k = radioactive decay constant. The rate of radioactive decay formula depends only on the single power of the radioactivity. ![]() ![]() It is used mainly in radiocarbon dating and the determination of the age of matter or materials. Radioactive decay is one important natural phenomenon obeying the first-order chemical kinetics.
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