Mathematics, 10.11.2019 14:31 hamptonjeleesa
An isotope of sodium, 24 na, has a half-life of 15 hours. a sample of this isotope has mass 2 g.
(a) find the amount remaining after 60 hours.
(b) find the amount remaining after t hours.
(c) estimate the amount remaining after 4 days (to the nearest thousandth).
(d) estimate the time (to the nearest tenth) required for the mass to be reduced to .01 g by graphing the function.
Answers: 1
![\bf A=2(1-r)^t\implies 1=2(1-r)^{15}\implies \cfrac{1}{2}=(1-r)^{15} \\\\\\ \sqrt[15]{\cfrac{1}{2}}=1-r\implies r=1-\sqrt[15]{\cfrac{1}{2}}\implies r\approx 0.045 \\\\\\ A=2(1-0.045)^t\implies \boxed{A=2(0.955)^t}](/tpl/images/0368/0569/956b9.png)
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An isotope of sodium, 24 na, has a half-life of 15 hours. a sample of this isotope has mass 2 g.
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