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14 November, 12:32

Radium has a half-life of 1,620 years. In how many years will a 1 kg sample of radium decay and reduce to 0.125 kg of radium?

a. 1,620 years

b. 3,240 years

c. 4,860 years

d. 6,480 years

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  1. 14 November, 12:49
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    We can calculate years by using the half-life equation. It is expressed as:

    A = Ao e^-kt

    where A is the amount left at t years, Ao is the initial concentration, and k is a constant.

    From the half-life data, we can calculate for k.

    1/2 (Ao) = Ao e^-k (1620)

    k = 4.28 x 10^-4

    0.125 = 1 e^ - 4.28 x 10^-4 (t)

    t = 4259 years
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