# Radioactive Material Equations and Formulas Calculator

## Hazardous Waste Treatment

Solving for initial number of nuclei

#### Inputs:

 number of nuclei after time period (N) disintegration constant (Kb) second^-1 day^-1 year^-1 time (t) second century day decade hour millisecond minute week year

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#### Conversions:

 number of nuclei after time period (N) = 0 = 0 disintegration constant (Kb) = 0 = 0 second^-1 time (t) = 0 = 0 second

#### Solution:

 initial number of nuclei (N0) = HAS NOT BEEN CALCULATED

#### Other Units:

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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.

by Jimmy Raymond