Radioactive vanadium-48 decays with a half-life of 16.0 days. a. What is the value of k ins? b. A sample contains 84.0 mg V. How many decay events will be produced in the first second? Assume the atomic mass of V is 48.0 u. decays's c. A chemist obtains a fresh sample of V and measures its radioactivity. She then determines that to do an experiment, the radioactivity cannot fall below 25% of the initial measured value. How long does she have to do the experiment? days
Radioactive vanadium-48 decays with a half-life of 16.0 days. a. What is the value of k ins? b. A sample contains 84.0 mg V. How many decay events will be produced in the first second? Assume the atomic mass of V is 48.0 u. decays's c. A chemist obtains a fresh sample of V and measures its radioactivity. She then determines that to do an experiment, the radioactivity cannot fall below 25% of the initial measured value. How long does she have to do the experiment? days
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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![**Radioactive vanadium-48 decays with a half-life of 16.0 days.**
**a. What is the value of k in s⁻¹?**
\[ k = \boxed{ \quad} \, \text{s}^{-1} \]
**b. A sample contains 8.0 mg \( ^{48} \text{V} \). How many decay events will be produced in the first second? Assume the atomic mass of \( ^{48} \text{V} \) is 48.0 u.**
\[ \boxed{ \quad} \, \text{decays/s} \]
**c. A chemist obtains a fresh sample of \( ^{48} \text{V} \) and measures its radioactivity. She then determines that to do an experiment, the radioactivity cannot fall below 25% of the initial measured value. How long does she have to do the experiment?**
\[ \boxed{ \quad} \, \text{days} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fe141b1-9817-4d6d-9b09-948fe13c457c%2F8cf01e08-1db3-413b-9bd3-8aeac32a7ccc%2Fz5saieq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Radioactive vanadium-48 decays with a half-life of 16.0 days.**
**a. What is the value of k in s⁻¹?**
\[ k = \boxed{ \quad} \, \text{s}^{-1} \]
**b. A sample contains 8.0 mg \( ^{48} \text{V} \). How many decay events will be produced in the first second? Assume the atomic mass of \( ^{48} \text{V} \) is 48.0 u.**
\[ \boxed{ \quad} \, \text{decays/s} \]
**c. A chemist obtains a fresh sample of \( ^{48} \text{V} \) and measures its radioactivity. She then determines that to do an experiment, the radioactivity cannot fall below 25% of the initial measured value. How long does she have to do the experiment?**
\[ \boxed{ \quad} \, \text{days} \]
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