Radioactive materials are often used in biological studies. A radiation biologist studies the rate of decomposition of a certain substance and obtains the following data: Time (days) 0 4.0 8.0 12.0 16.0 Mass (μg) 26.20 18.13 12.55 8.69 6.01 How many micrograms will remain after 26 days?
Radioactive materials are often used in biological studies. A radiation biologist studies the rate of decomposition of a certain substance and obtains the following data: Time (days) 0 4.0 8.0 12.0 16.0 Mass (μg) 26.20 18.13 12.55 8.69 6.01 How many micrograms will remain after 26 days?
Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter16: Reaction Rates
Section: Chapter Questions
Problem 74A
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Question
Radioactive materials are often used in biological studies. A radiation biologist studies the rate of decomposition of a certain substance and obtains the following data:
| Time (days) | 0 | 4.0 | 8.0 | 12.0 | 16.0 |
| Mass (μg) | 26.20 | 18.13 | 12.55 | 8.69 | 6.01 |
How many micrograms will remain after 26 days?
Expert Solution
Step 1
Radioactive decay follows the first order kinetics. According to the first order reaction :
where k is the rate constant, t is the time taken , [Ao] is the initial concentration and [At] is the concentration at time t.
Step 2
Putting the values in equation (1) for determining rate constant k:
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