AirannaU205511 AirannaU205511
  • 03-11-2022
  • Physics
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The half-life of iodine-131 is 8.07 days. If 0.25 g are left after 40.35 days, how many gramswere in the original sample?

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PrajnaS496297 PrajnaS496297
  • 03-11-2022

Given data

*The half-life of iodine-131 is t = 8.07 days

*The amount of quantity left is N = 0.25 g

*The number of days is T = 40.35 days

The expression for the radioactivity decay is given as

[tex]N=N_0(\frac{1}{2})^{\frac{T}{t}}[/tex]

Substitute the values in the above expression as

[tex]\begin{gathered} \text{0}.25=N_0(\frac{1}{2})^{\frac{40.35}{8.07}} \\ N_0=8\text{ g} \end{gathered}[/tex]

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