Problem: At 8:00 A.M., a patient receives a 2.5 µg dose of I-131 to treat thyroid cancer. If the nuclide has a half-life of eight days, what mass of the nuclide remains in the patient at 6:00 P.M. the next day? (Assume no excretion of the nuclide from the body.)

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FREE Expert Solution

(1) Calculate rate (k) at first order

k = ln(2)t1/2k = ln(2)8 days (24 hrs1 day)

k = 3.60x10-3 hrs-1


(2) t = 8 AM to 7 PM the next day = 35 hours

Initial mass = 2.5 µg

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Problem Details

At 8:00 A.M., a patient receives a 2.5 µg dose of I-131 to treat thyroid cancer. If the nuclide has a half-life of eight days, what mass of the nuclide remains in the patient at 6:00 P.M. the next day? (Assume no excretion of the nuclide from the body.)