Q.

The half-life for radioactive decay of C-14 is 5730 years. An archaeological artifact containing wood had only 80% of the C-14 found in a living tree. The age of the sample is

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a

1485 years

b

1845 years

c

530 years

d

4767 years

answer is B.

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Detailed Solution

Radioactive decay follows first order kinetics. therefore, Decay constant (λ)=0.693t1/2=0.6935730Given, R0=100        ∴ R = 80and t=2.303λlog[R]0[R]=2.3030.6935730log10080=2.303×57300.693×0.0969=1845 years
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The half-life for radioactive decay of C-14 is 5730 years. An archaeological artifact containing wood had only 80% of the C-14 found in a living tree. The age of the sample is