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

question 38

Multiple Choice

The isotope ${ } ^ { 14 } \mathrm { C }$ has a half-life of 5,715 years. Given an initial amount of 11 grams of the isotope, how many grams will remain after 500 years? After 5,000 years? Round your answers to four decimal places.

• A) \(7.2469 \mathrm { gm } , 4.1988 \mathrm { gm }\)
• B) \(6.2117 \mathrm { gm } , 3.5989 \mathrm { gm }\)
• C) \(10.3528 \mathrm { gm } , 5.9982 \mathrm { gm }\)
• D) \(4.1411 \mathrm { gm } , 2.3993 \mathrm { gm }\)
• E) \(12.4233 \mathrm { gm } , 7.1979 \mathrm { gm }\)

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