A sample consists of 1.00 3 106 radioactive nuclei with a

Chapter 44, Problem 40

(choose chapter or problem)

A sample consists of 1.00 3 106 radioactive nuclei with a half-life of 10.0 h. No other nuclei are present at time t 5 0. The stable daughter nuclei accumulate in the sample as time goes on. (a) Derive an equation giving the number of daughter nuclei Nd as a function of time. (b) Sketch or describe a graph of the number of daughter nuclei as a function of time. (c) What are the maximum and minimum numbers of daughter nuclei, and when do they occur? (d) What are the maximum and minimum rates of change in the number of daughter nuclei, and when do they occur?

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