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15 October, 15:22

Sodium-24 is a radioactive substance used for medical purposes. Suppose that a patient is injected with sodium-24 and the amount of sodium-24 in the patient's body in milligrams after t hours is given by S (t) = 5e-0.35t. What is the half-life of sodium-24?

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  1. 15 October, 16:20
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    Answer: half life = 1.98 seconds

    Step-by-step explanation:

    Given that the amount of sodium-24 in the patient's body in milligrams after t hours is given by

    S (t) = 5e-0.35t.

    From the equation above, decay constant K = 0.35

    Half life = ln2/K

    Half life = ln2 / 0.35

    Half life = 1.98 seconds
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