wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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

Open in App
Solution

Decay constant (k) =0.693t12=0.6935730yr1
Radioactive decays follow first order kinetics
t=2.303klog[A]0[A]
Given, [A]=80% It means that [A]0=100%
t=2.303×57300.693yr×log10080
=2.303×5730×0.09690.693
=1845 yr
Estimated age = 1845 yr


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon