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The half-life of I-37 is 8.07 days. If 25 grams are left after 40.35 days, how many grams were in the original sample?

Sagot :

maacastrobr

Answer:

800 g

Explanation:

We can express the decay of I-37 using the formula:

  • Final Mass = Initial Mass * [tex]0.5^{\frac{Time}{Half-Life} }[/tex]

We input the data:

  • 25 g = Initial Mass * [tex]0.5^{(\frac{40.35}{8.07})}[/tex]

And solve for Initial Mass:

  • 25 g = Initial Mass * [tex]0.5^{5}[/tex]
  • 25 g = Initial Mass * 0.03125
  • Initial Mass = 800 g

Meaning that out 800 grams of I-37, only 25 will remain after 40.35 days.

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