An archaeologist finds Carbon-14 in a sample of 3.10g ofmaterial to be decaying

Question

An archaeologist finds Carbon-14 in a sample of 3.10g ofmaterial to be decaying at 107 counts per second. A modern 1.00gsample of the same material decays at 151 counts per second. Howold is the sample?

1. 25,100 years
2. 12,200 years
3. 12,600 years
4. 8460 years

An archaeologist finds Carbon-14 in a sample of 3.10g ofmaterial to be decaying at 107 counts per second. A modern 1.00gsample of the same material decays at 151 counts per second. Howold is the sample?

1. 25,100 years
2. 12,200 years
3. 12,600 years
4. 8460 years

1. 25,100 years
2. 12,200 years
3. 12,600 years
4. 8460 years

Explanation / Answer

rate of decaying N(t)=3.1No*2^(-t/T) N(t)/(No)=107/151 => 2^(-t/T)=0.2286

=> t=2.13T= 2.13*5530=12200 years

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