Potassium (40K) decays to Argon (40Ar) with a half-life value of 1.3 billion years. 40K is the parent isotope and 40Ar is the daughter isotope. Laboratory analysis of a rock sample showed that there are 0.13ppm of 40K and an equal amount of 40Ar in the rock. (ppm: parts per million) Based on the laboratory results, ________________ half-live(s) have elapsed and the age of the rock is __________.Select from the following and explain.A. 0; 0 yearsB. 3; 4.5 billion yearsC. 1; 1.3 billion yearsD. 13; 6 billion yearsE. 13; 1.0 billion years

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Answered: Potassium (40K) decays to Argon (40Ar)…

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter13: Nuclear Structure

Section: Chapter Questions

Problem 33P

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Potassium (⁴⁰K) decays to Argon (⁴⁰Ar) with a half-life value of 1.3 billion years. ⁴⁰K is the parent isotope and 4⁰Ar is the daughter isotope. Laboratory analysis of a rock sample showed that there are 0.13ppm of ⁴⁰K and an equal amount of ⁴⁰Ar in the rock. (ppm: parts per million)

Based on the laboratory results, ________________ half-live(s) have elapsed and the age of the rock is __________.

Select from the following and explain.

A. 0; 0 years

B. 3; 4.5 billion years

C. 1; 1.3 billion years

D. 13; 6 billion years

E. 13; 1.0 billion years

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