An ancient bone shows a ratio that is 25.0 % of the ratio in living organisms

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

Problem

An ancient bone shows a 14C/12C^{14}\text{C}/^{12}\text{C} ratio that is 25.0\% of the ratio in living organisms. The half-life of 14C^{14}\text{C} is 5730 years5730\,\text{years}. Estimate the age of the bone. (a) 7.9×103 yr7.9\times 10^{3}\,\text{yr} (b) 1.59×104 yr1.59\times 10^{4}\,\text{yr} (c) 1.15×104 yr1.15\times 10^{4}\,\text{yr} (d) 5.7×103 yr5.7\times 10^{3}\,\text{yr}

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