The mass ratios of 40Ar to 40K can also be used to date

Chapter 20, Problem 20.36

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The mass ratios of 40Ar to 40K can also be used to date geological materials. Potassium-40 decays by two processes: 4 1 0 9K 1 21 0 e 88n 4 1 0 8Ar (10.7%) t1/2 5 1.27 3 109 yr 4 1 0 9K 88n 4 2 0 0Ca 1 21 0 e (89.3%) a. Why are 40Ar/40K ratios rather than 40Ca/40K ratios used to date materials? b. What assumptions must be made in using this technique? c. A sedimentary rock has a 40Ar/40K ratio of 0.95. Calculate the age of the rock. d. How will the measured age of a rock compare with the actual age if some 40Ar has escaped from the sample?

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