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IB MAI HL Number and Algebra Topic 1.2 Sequences & Series (id: 4e14f5a91)

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admin 发表于 2024-2-9 14:58:15 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Number and Algebra Topic 1.2 Sequences & Series,类别为 IB数学

[填空题]
The half-life, T, in days, of a radioactive1-f 3 38kbdtswsfkkb61b6 axy isotope can be modelled be bp(vdjadf/ :j rgw*n(*(k)uyx/7eq y the funct)fu (v/ :rx**ybdk nw /pqjjge7(e(a dion
$\frac{\ln{0.5}}{\ln{1-\frac{k}{100}}}$,0
where k is the decay rate, in percent, per day of the isotope.

1.The decay rate of Gold-196 is 6.2 % per day. Find its half-life.
T(6.2)≈  days
The half-life of Phosphorus-32 (P-32) is 14.3 days. A sample containing 120 grams of P-32 is produced and stored in a biochemistry laboratory.

2.Find the decay rate per day of P-32.
Solving the equation T(k)=14.3 for k, we obtain k=  %
3.Find the amount of P-32 left in the sample after:
3.1.
14.3 days;   grams

3.2.
50 days. $u_{51}$≈   grams




参考答案:
空格1: 10.8±0.1空格2: 4.73±0.01空格3: 60空格4: 10.6±0.1


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