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

Chapter , Problem 34

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The mass ratios of 40Ar to 40K also can be used to date geologic materials. Potassium-40 decays by two processes: 4 1 09 K _ _ 0 1e 88n 4 1 0 8Ar (10.7%) t1_2 _ 1.27 _ 109 years 4 1 09 K 88n 4 2 0 0Ca _ _ 0 1e (89.3%) a. Why are 40Ar_40K ratios used to date materials rather than 40Ca_40K ratios? b. What assumptions must be made using this technique? c. A sedimentary rock has an 40Ar_40K ratio of 0.95. Calculate the age of the rock. d. How will the measured age of a rock compare to the actual age if some 40Ar escaped from the sample?

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