Radioisotope Activity & Biological Half Life

AI Thread Summary
Activity of a radioisotope refers to the rate at which its nuclei decay, with specific activity being the decay rate per unit mass. The number of radionuclide atoms decreases over time due to decay and excretion from the body. While the radioactive half-life is a constant measure of decay, it does not account for biological factors affecting exposure when the isotope is ingested or injected. The biological half-life measures the time it takes for an organism to excrete half of the radioactive isotopes, and both half-lives are combined to estimate the effective half-life of radiation exposure. Understanding these concepts is crucial for accurately assessing radiation exposure in biological systems.
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when discussing the the properties of a radioisotope, what is meant by its activity, and a biological half life
thanks
Pavadrin
 
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Activity refers to the rate of decay. Specific activity is activity per unit mass. In addition to the decay of a radionuclide, the element is mobile in the body, i.e. it can be taken in (absorbed) and excreted.

Activity, which is proportional to the number of atoms of radionuclide(s) present, decreases as the atoms (nuclei) decay and as the atoms (nuclei) are excreted from the body.

This may be helpful - http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/biohalf.html
 
The activity of a radioisotope is defined as the rate of decay of the nuclei. If A be the activity and N is the number of nuclei then;

A = -\frac{dN}{dt}

The radioactive half life, as you probably know, is constant an independent of any physical factors. However, if a radio isotope is ingested or injected into a living organism, the radioactive half life alone cannot be used to estimate the exposure. For example, if the organism excretes the isotope, then it is no longer exposed to the radiation. The biological half life is basically the time taken for an organism to excrete half the nuclei of the radioactive isotopes; therefore, together with the radioactive half life the biological half life can be used to give an estimate of the effective half life or exposure to radiation;

\frac{1}{T_{\text{effective}}} = \frac{1}{T_{\text{radioactive}}} + \frac{1}{T_{\text{biological}}}

Hope this helps

Edit: I had an idea Astronuc would like this thread:wink:
 
thanks for the replys, Hootenanny perhaps urs was the better of the replies
Pavadrin.
 
If you are interested, you can also look up the basics of carbon dating tecnhique .
 
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