We appreciate your visit to Thallium 201 is used medically to diagnose heart problems The half life of thallium 201 is 72 9 hours If you begin with 37 9. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The remaining mass of thallium-201 after 165 hours is approximately 10.82 mg.
Explanation:
To calculate the remaining mass of thallium-201 after 165 hours, we can use the formula:
Remaining mass = Initial mass * (0.5)^(time elapsed / half-life)
Given:
- Initial mass = 37.9 mg
- Half-life = 72.9 hours
- Time elapsed = 165 hours
Plugging in the values:
Remaining mass = 37.9 mg * (0.5)^(165 / 72.9)
Calculating the exponent:
Remaining mass = 37.9 mg * (0.5)^(2.26)
Using a calculator, we find that (0.5)^(2.26) is approximately 0.285.
Therefore, the remaining mass of thallium-201 after 165 hours is:
Remaining mass = 37.9 mg * 0.285 = 10.82 mg
Learn more about calculating remaining mass of a radioactive isotope here:
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