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Red88
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Homework Statement
Suppose you ingest a microgram radioactive material with an initial activity of 10^5/sec and a physical lifetime of 4 hours. Suppose also that all of the energy of each emission of alpha particles with energy of 0.3MeV per particle is deposited throughout your tissue. If you eliminate the material, making a body lifetime of 12 hours, what will be the total dose given to your body, of mass 50kg, after a month?
Homework Equations
According to my professor,
Activity = (No/T)exp(-t/T) where T is the lifetime of the substance
With both a physical half-life, tp, and a body or metabolic half-life, tm,
N = No(1/2)^(t(1/tp + 1/tm))
Dose = J/kg
1 eV = 1.602 x 10^-19 J
The Attempt at a Solution
10^5 dis/s X 2419200s (in a month) X (4hrs/12hrs) X (4.806 x 10^-14J)/(dis) X (1/50kg)
=> Dose = 7.75 x 10^-5 J/kg
Please respond ASAP - the homework is due tomorrow! I'll appreciate any help...
Regards,
Red88