Chemistry

Question

Iodine-131 is a radioactive isotope. after 7.00 days, 54.7% of a sample of 131i remains. what is the half-life of 131i?

2 Answer

  • Iodine-131 has a half-life of 8 days.
  • Answer:

    The half-life of ¹³¹I is 8.04 days.

    Explanation:

    We can calculate the half-life of 131I using the formula:

    • 0.547 = (0.5)[tex]^{7.00/\alpha }[/tex]

    Where 0.547 is the percentage of the sample that remains, 7.00 is the amount of days that have passed, and α is the half-life.

    We use Log on both sides of the equation:

    • -0.262 = -0.301 * (7.00 / α)

    And solve for α:

    α = 8.04 days

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