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

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