Average Dose Rate of 1.11x108 Bq 131I in Thyroid

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SUMMARY

The average dose rate of 1.11×108 Bq of 131I administered to a patient is calculated to be 51 μGy s–1 in the thyroid, which has a mass of 20 g. The calculation involves determining the activity concentration (A) using the formula A=(1.11×108 Bq × 30%)/20 g, resulting in A=1.665×106 Bq g–1. The energy (E) of the emitted radiation is 0.192 MeV, and the dose rate is computed using D=1.60×10–10AE Gy s–1. A mistake was identified regarding the missing factor of 106 in the calculation of A.

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  • Understanding of radioactive decay and dose calculations
  • Familiarity with the concepts of activity concentration and dose rate
  • Knowledge of the units of measurement in radiation physics (Bq, Gy, MeV)
  • Proficiency in using the formula D=1.60×10–10AE Gy s–1
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xamy
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Homework Statement


A patient receives an injection of 1.11×108 Bq of 131I,30% of which goes to the thyroid, having a mass of 20 g.What is the average dose rate in the organ?


Homework Equations


D=1.60×10–10AE Gy s–1

The Attempt at a Solution

A=(1.11x108x(30/100))/20=1.665x106Bqg-1

E=0.192Mev

=1.60x10-10 (1.665)(0.192Mev)

= 51μGy s–1

This is my solution. Can anyone point out the mistake here.
 
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xamy said:
=1.60x10-10 (1.665)(0.192Mev)

What happened to the factor 10^6 you had in calculating A?
 

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