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March 27, 2017

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Radius decays at a rate of that is proportional to its mass, and has a half-life of 1590 years. If 20 g of radium is present initially, how long will it take for 90% of this mass to decay?

  • Calculus - ,

    so you want 10% to remain (the 20g is actually not relevant)

    solve
    .1 = (1/2)^(t/1590)
    log .1 = log (.5^(t/1590))
    t/1590(log .5) = log .1
    t/1590 = log .1/log .5
    etc.

    let me know if didn't get t = 5282

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