# Radioactive Material Equations Calculator

## Hazardous Waste Treatment Formulas

Solving for Disintegration Constant note: Avogadro's number = N0 = 6.02 x 1023 atoms/gram-atom

#### Inputs:

source strength or total radioactivity (Q)
radionuclide atomic weight (W)
radionuclide atomic weight (M)

#### Conversions:

source strength or total radioactivity (Q)
= 0
= 0
becquerel
radionuclide atomic weight (W)
= 0
= 0
gram/gram-atom
radionuclide atomic weight (M)
= 0
= 0
gram

#### Solution:

disintegration constant (KT)
= NOT CALCULATED

#### Other Units:

Change Equation
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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