14. Assume that a pure sample of a radioisotope contains exactly 1.6 × 10^4 nuclei with a half-life of 10.0 s. (a) Determine the expected number of nuclei remaining after time intervals of 10 s, 20 s, 30 s, 40 s, 50 s, and 60 s. (b) Draw an accurate graph of the data with the time interval (t) on the x-axis and the number of nuclei remaining (N) on the y-axis (c) The activity at any given time is given by A = AN/At. What property of the graph does this ratio represent? (d) Determine the activity of the sample at 10 s, 20 s, 30 s, 40 s, and 50 s. (e) Draw an accurate graph of the data with the time interval (t) on the x-axis and the activity (A) on the y-axis. (f) Compare the two graphs.

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