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5 August, 05:52

The half-life of a particular element is 280 days. what is its decay constant?

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  1. 5 August, 06:06
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    The formula for decay is

    N' = Ne^ (-kt)

    with N as the initial amount, k as the decay constant, and N' as the final amount. For decay, 280 days is the time it takes for the initial amount N to decay to 1/2N (half its original mass).

    1/2A = Ae^ (-280k)

    1/2 = e^ (-280k)

    Solving for k, we will yield

    ln (1/2) = - 280k

    k = ln (2) / 280 day^-1

    k ≈ 2.5 * 10^-3 day^-1
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