We appreciate your visit to Tungsten W 181 is a radioactive isotope with a half life of 121 days If a medical lab purchases 24 kg of W 181 how. 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 :
Answer:
2.97 kg.
Step-by-step explanation:
We have been given that Tungsten, W-181 is a radioactive isotope with a half life of 121 days.
We will use half-life formula to solve our given problem.
[tex]A=a\cdot (\frac{1}{2})^{\frac{t}{h}}[/tex], where,
A = Final amount.
a = Initial amount,
t = Time,
h = Half life.
Upon substituting our given values in above formula we will get,
[tex]A=24\cdot (\frac{1}{2})^{\frac{365}{121}}[/tex]
[tex]A=24\cdot 0.1235760503818562[/tex]
[tex]A=2.9658252091\approx 2.97[/tex]
Therefore, 2.97 kg of W-181 will be left after 1 year.
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Rewritten by : Barada
3 kg because one year is approximately 3 half-lives of W-181. The amount remaining would be 1/23 or 1/8. That is 3 kg of W-181.
