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23 Nov 2019

If the physical half-life (Tp) of therapeutic dose of radioiodine 131I is 8.2 days and the biological half-life (Tb) is 6.3 days, what is the effective half-life (Teff)?

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Elin Hessel
Elin HesselLv2
27 Feb 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Calculate the mass of 131I that needs to given to apatient whose thyroid is to be imaged. Assume that an activity of15MBq is required for imaging and that all of the iodine isabsorbed in the thyroid.

(i have calculated the effective half life of 131I = 7days.Not sure if its related.)

Your pet bats, Joe, Bob and Curly love coffee.Unfortunately,after their Saturday morning cups of coffee, you arehorrified tolearn that the coffee is laced with radioactive isotopeY. Openingthe window to let in some air 1 day later, two of yourbats (Boband Curly) escape, only to become a snack foryourneighbour’s pet falcon (who loves coffee drinkingbats.) By thetime you shoot the falcon 3.00 days later, youmeasure a total bodycount of 1,050,000 Bq, which is almost thesame count rate at thesame time for Joe (1,000,000 Bq). 1 Bq = 1Becquerel = 1disintegration per second. Joe drank 4 cups ofcoffee, Bob drank 2cups of coffee, Curly drank 3 cups of coffee,the physical half-lifeof radionuclide Y is 5.00 days, and theeffective half-life in thefalcon is 3.00 days.

(a) What is the biological half-life ofthisisotope in the falcon?

(b) What is the biological half-life ofthisisotope in the bat?

(c) What was the initial activity of a14-cuppot of coffee?

Two goats at Port Hopeless, Ontario accidentally get into a fieldcontaining radioactive grass. The goat "Aristophanes" eats twice asmuch grass as the goat "Demetrius". However Aristophanes'metabolism is 1.5 times faster than that of Demetrius and theingested isotope has in this case a biological decay constant whichis directly proportional to metabolism. If the biological decayconstant is 0.10 day-1 in Demetrius, how long will it be until thetwo goats contain the same concentration of isotope? Assume thatthe physical half life is very long compared to the biological halflives.

Ans: 14 days

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