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.)

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.)

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.

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Based on our data, we think this problem is relevant for Professor Stollenz's class at KSU.