A patient with prostate cancer is treated with implanted seeds that contain the samarium isotope 153Sm which decays with a half-life of 1.9 days by emitting beta particles (RBE=1) each of 0.8 MeV energy. The seeds have an activity of 100 MBq when first implanted, and 40% of the decay energy is absorbed by the 0.024 kg prostate gland. What dose equivalent does the gland receive after 1.9 days?

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A patient with prostate cancer is treated with implanted seeds that
contain the samarium isotope 153Sm which decays with a half-life of
1.9 days by emitting beta particles (RBE=1) each of 0.8 MeV energy.
The seeds have an activity of 100 MBq when first implanted, and 40%
of the decay energy is absorbed by the 0.024 kg prostate gland. What
dose equivalent does the gland receive after 1.9 days?
My professor says the answer is 25sv
I don't know how.
Transcribed Image Text:A patient with prostate cancer is treated with implanted seeds that contain the samarium isotope 153Sm which decays with a half-life of 1.9 days by emitting beta particles (RBE=1) each of 0.8 MeV energy. The seeds have an activity of 100 MBq when first implanted, and 40% of the decay energy is absorbed by the 0.024 kg prostate gland. What dose equivalent does the gland receive after 1.9 days? My professor says the answer is 25sv I don't know how.
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