The Isotope ${ } ^ { 14 } \mathrm { C }$

question 13

Multiple Choice

The isotope ${ } ^ { 14 } \mathrm { C }$ has a half-life of $5.715$ years. After 2,000 years, a sample of the isotope is reduced to $1.2$ grams. What was the initial size of the sample (in grams) ? How much will remain after 20,000 years (i.e., after another 18000 years) ? Round your answers to four decimal places.

• A) \(1.0706,0.0947\)
• B) \(2.4471,0.2164\)
• C) \(1.5294,0.1352\)
• D) \(2.1412,0.1893\)
• E) \(1.9883,0.1758\)

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