IB MAI HL Functions Topic 2.2 Applications of Functions (id: 4e4d19fa2)

本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions，类别为 IB数学

[填空题]
The half-life, T, in yearsc +z8x:i /bhg,q 1lgyq, of a radioactive isotope c+m;70ddjh twm5 lh7:x itiu(czm+ / nnan be modelled by the functn+itmndt7u:(/7mjh+c zi x hmwl0;5d ion
T(k)​=​$\frac{ln0.5}{ln(1-\frac{k}{100})}$,0where k is the decay rate, in percent, per year of the isotope.
1.The decay rate of Hydrogen-33 is 5.5 % per year. Find its half-life.
The half-life of Uranium-232 (U-232) is 68.9 years. A sample containing 250 grams of U-232232 is obtained and stored as a side product of a nuclear fuel cycle. ≈   
2Find the decay rate per year of U-232. k =    %
3.Find the amount of U-232 left in the sample after:
(1)68.9 years;    grams
(2)100 years. ≈    grams

参考答案:
空格1: 12.3±2%  空格2: 1.00±2%  空格3: 125±2%  空格4: 91.5±2% 


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