225 AC 9.9d 221Fr deday hhoun minutes econds msmillseconds eroseconds 4.8 m x1 32 ms X2 X3 42 ya 45.6 m X4 X5 |209BI 2.2m 3.3h stable This figure' shows that the decay "chain" starts with an a decay of Ac to produce 2Fr, which itself undergoes a decay to "X1", and so on, until the final production of the stable *Bi isotope via a beta- decay process from "XS". Note that isotope "X2" has two different decay channels, both of which result in "XS": 98% of "X2" undergoes B' decay to "X3" (which subsequently decays by emitting a to produce "XS"), while 2% of "X2" decays to "X4" via a decay (which subsequently undergoes B' decay to "XS"). 1. Given the type of decay process, provide the element and nucleon number (e.g. 2"iFr) for each of the isotopes X1, X2, X3, X4 and XS. 2. Assume a chemist in Dr. Ramogida's lab requires 8 hours from the time of receipt of 2Ac to incorporate it into a chemically synthesized carrier compound that can be used for cancer treatment. If they are given 0.450 mg of 22Ac, what is the mass of 2*Ac remaining at the end of the 8 hours, given its half-life of 9.9 days? 3. If their compound is shipped around the world for treatment of cancer patients, a key consideration is how long it remains active. Starting with the amount that leaves Dr. Ramogida's lab, for how long does at least 10% of the Ac remain, which could be used for treatment?
225 AC 9.9d 221Fr deday hhoun minutes econds msmillseconds eroseconds 4.8 m x1 32 ms X2 X3 42 ya 45.6 m X4 X5 |209BI 2.2m 3.3h stable This figure' shows that the decay "chain" starts with an a decay of Ac to produce 2Fr, which itself undergoes a decay to "X1", and so on, until the final production of the stable *Bi isotope via a beta- decay process from "XS". Note that isotope "X2" has two different decay channels, both of which result in "XS": 98% of "X2" undergoes B' decay to "X3" (which subsequently decays by emitting a to produce "XS"), while 2% of "X2" decays to "X4" via a decay (which subsequently undergoes B' decay to "XS"). 1. Given the type of decay process, provide the element and nucleon number (e.g. 2"iFr) for each of the isotopes X1, X2, X3, X4 and XS. 2. Assume a chemist in Dr. Ramogida's lab requires 8 hours from the time of receipt of 2Ac to incorporate it into a chemically synthesized carrier compound that can be used for cancer treatment. If they are given 0.450 mg of 22Ac, what is the mass of 2*Ac remaining at the end of the 8 hours, given its half-life of 9.9 days? 3. If their compound is shipped around the world for treatment of cancer patients, a key consideration is how long it remains active. Starting with the amount that leaves Dr. Ramogida's lab, for how long does at least 10% of the Ac remain, which could be used for treatment?
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter19: The Nucleus: A Chemist's View
Section: Chapter Questions
Problem 36E
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