A basalt sample originally contained no

CHEMISTRY · Single correct · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear

Problem

A basalt sample originally contained no 40Ar^{40}\text{Ar}. Laboratory analysis now finds that the number of 40Ar^{40}\text{Ar} atoms trapped in the rock is three times the number of remaining 40K^{40}\text{K} atoms. Given the half-life of 40K^{40}\text{K} is 1.25×109 years1.25\times10^{9}\,\text{years}, estimate the age of the rock. (a) 1.25×109 years1.25\times10^{9}\,\text{years} (b) 1.9×109 years1.9\times10^{9}\,\text{years} (c) 2.5×109 years2.5\times10^{9}\,\text{years} (d) 3.75×109 years3.75\times10^{9}\,\text{years}

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