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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?

1 Answer

7 votes

Answer:

800 g

Step-by-step explanation:

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

  • Final Mass = Initial Mass *
    0.5^{(Time)/(Half-Life) }

We input the data:

  • 25 g = Initial Mass *
    0.5^{((40.35)/(8.07))}

And solve for Initial Mass:

  • 25 g = Initial Mass *
    0.5^(5)
  • 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.

User Randall Sutton
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