Radioactive Material Equations Calculator
Hazardous Waste Treatment Formulas
Solving for Radionuclide Mass
note: Avogadro's number = N0 = 6.02 x 1023 atoms/gram-atom
Inputs:
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Conversions:
source strength or total radioactivity (Q)
= 0
= 0
becquerel
radionuclide atomic weight (W)
= 0
= 0
gram/gram-atom
disintegration constant (KT)
= 0
= 0
second^-1
Solution:
radionuclide mass (M) = NOT CALCULATED
Other Units:
Change Equation
Select to solve for a different unknown
Select to solve for a different unknown
radioactive material and nuclear waste decay
 | solve for number of nuclei remaining after time period |
 | solve for initial number of nuclei |
 | solve for disintegration constant |
 | solve for time period |
half life
 | solve for half life time |
 | solve for disintegration constant |
source strength
 | solve for becquerels |
 | solve for radionuclide atomic weight |
 | solve for radionuclide mass |
 | solve for disintegration constant, inverse time |
quality factor
 | equivalent dose - measures the amount of effective biological damage caused by radiation |
 | absorbed dose - measure of the amount of energy absorbed into material |
 | solve for quality factor |
unit conversion factors
 | equivalent dose - SI unit is rem (roentgen equivalent man) - US unit is sievert |
 | absorbed dose - SI unit is rad - US unit is gray |
 | total radioactivity - SI unit is becquerel - US unit is curie |
Where
| N | = | number of nuclei remaining after a time period |
| N0 | = | initial number of nuclei |
| Kb and KT | = | disintegration constant |
| t1/2 | = | half life time of radionuclide |
| Q | = | total radioactivity or source strength |
| N0 | = | Avogadro's number, 6.02 x 1023 atom/gram-atom |
| W | = | atomic weight |
References - Books:
1) P. Aarne Vesilind, J. Jeffrey Peirce and Ruth F. Weiner. 1994. Environmental Engineering. Butterworth Heinemann. 3rd ed.
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