In Problems 23–27, assume that the rate of decay of a radioactive substance is proportional to the amount of the substance present. The half-life of a radioactive substance is the time it takes for one-half of the substance to disintegrate.
To see how sensitive the technique of carbon dating of Problem 25 is,
(a) Redo Problem 25 assuming the half-life of carbon-14 is 5550 yr.
(b) Redo Problem 25 assuming 3% of the original mass remains.
(c) If each of the figures in parts (a) and (b) represents a 1% error in measuring the two parameters of half-life and percent of mass remaining, to which parameter is the model more sensitive?
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