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# Laws of Radioactivity Assignment Help

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Radioactivity - Laws of Radioactivity
*Laws of Radioactivity*

All radionuclides do not decay at the same rate. From the kinetics point of view disintegration of any radionuclide is a first order process. There are two laws of radioactivity. As according to the first law of the radioactivity, the rate of disintegration of a radionuclide at any time is directly proportional to the number of atoms present at that time. Therefore,

- dN / λN = dt .........................(1)

where, N is the number of radioactive atoms of a specific radionuclide present at time t and λ is the nuclear decay constant (in s^{-1}), a characteristic property of the radionuclide. The minus sign in Eq. (1) indicates that decay results in a decrease in number of atoms. The probability in which a radionuclide will disintegrate in a certain time interval does not depend on the state of chemical combination, the temperature, pressure or the presence of other atoms. At integrating Eq. (2), we get

N = N _{º}e ^{-λt} ................ (2)

where, N_{o} is the number of radioactive atoms present in the starting (at t = 0). It means that during the time interval t, (N_{o} - N) radioactive atoms would have undergone radioactive decay. Because Eq. (12.2) is exponential in nature and a plot of N vs. t (as shown in Figure) displays that radioactive decay never ceases or the number of radioactive atoms never becomes zero.

*Figure: Decay plot of radioactive elements with time*

*Laws of Radioactivity*^{-1}), a characteristic property of the radionuclide. The minus sign in Eq. (1) indicates that decay results in a decrease in number of atoms. The probability in which a radionuclide will disintegrate in a certain time interval does not depend on the state of chemical combination, the temperature, pressure or the presence of other atoms. At integrating Eq. (2), we get

_{º}e

^{-λt}................ (2)

_{o}is the number of radioactive atoms present in the starting (at t = 0). It means that during the time interval t, (N

_{o}- N) radioactive atoms would have undergone radioactive decay. Because Eq. (12.2) is exponential in nature and a plot of N vs. t (as shown in Figure) displays that radioactive decay never ceases or the number of radioactive atoms never becomes zero.

*Figure: Decay plot of radioactive elements with time*Second law of radioactivity | Units of Radioactivity |

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