Answered: s the rate constant (in min−1) for the…

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

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Fluorine-18 is a radioactive isotope that decays by positron emission to form oxygen-18 with a half-life of 109.8 min. (A positron is a particle with the mass of an electron and a single unit of positive charge.)

¹⁸₉F → ¹⁸₈O + e⁺

Physicians use ¹⁸F to study the brain by injecting a quantity of fluoro-substituted glucose into the blood of a patient. The glucose accumulates in the regions where the brain is active and needs nourishment.

(a)

What is the rate constant (in min⁻¹) for the decomposition of fluorine-18?

min⁻¹

(b)

If a sample of glucose containing radioactive fluorine-18 is injected into the blood, what percent of the radioactivity will remain after 4.98 h?

(c)

How long (in min) does it take for 99.97% of the ¹⁸F to decay?

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