The activity of a radioactive sample was measured over 12

Chapter 44, Problem 66

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The activity of a radioactive sample was measured over 12 h, with the net count rates shown in the accompanying table. (a) Plot the logarithm of the counting rate as a function of time. (b) Determine the decay constant and half-life of the radioactive nuclei in the sample. (c) What counting rate would you expect for the sample at t 5 0? (d) Assuming the efficiency of the counting instrument is 10.0%, calculate the number of radioactive atoms in the sample at t 5 0. Time (h) Counting Rate (counts/min) 1.00 3 100 2.00 2 450 4.00 1 480 6.00 910 8.00 545 10.0 330 12.0 200

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