Hazardous Waste Treatment Formulas

Solving for Disintegration Constant

note: Avogadro's number = N^{0} = 6.02 x 10^{23} atoms/gram-atom

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

disintegration constant (K_{T})

= NOT CALCULATED

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 |

N_{0} | = | initial number of nuclei |

K_{b} and K_{T} | = | disintegration constant |

t_{1/2} | = | half life time of radionuclide |

Q | = | total radioactivity or source strength |

N^{0} | = | Avogadro's number, 6.02 x 10^{23} 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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