Friday, May 20, 2011

Gamma Spectrometry - Efficiency Calculation for K-40


Gamma Efficiency for K-40

Activity

Define activity, A = Number of spontaneous disintegrations in a source in one second.

Unit of activity, A = Bq (Becquerel)

Activity, A




N = Number of atom for K40

λ = Decay constant

t = Time

Specific Activity


Half-life


λ is a decay constant, therefore


How to calculate Activity and efficiency of K40 in KCl for Gamma Spectrometry

(eg. Standard KCl, 400g was used to calibrate the gamma spectrometry)

a) Calculate Mass of K in KCl




=

b) Calculate Mass K40 in 209.779 g K

=
=
= g

c) Calculate Number of atom K40








d) Calculate Decay constant, λ for K40







e) Calculate Activity K40 in KCl





f) Efficiency K40 for Gamma Spectrometry
(eg. Counting time = 43200 s, peak area = 140 000)











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