🤓 Based on our data, we think this question is relevant for Professor Carroll's class at UW-SEATTLE.

**$\overline{){\mathbf{t}}_{\raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}\mathbf{}\mathbf{=}\frac{\mathbf{ln}\mathbf{}\mathbf{2}}{\mathbf{k}}}\phantom{\rule{0ex}{0ex}}\mathbf{k}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{ln}\mathbf{}\mathbf{2}}{{\mathbf{t}}_{{\displaystyle \raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}}}\phantom{\rule{0ex}{0ex}}\mathbf{k}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{0}\mathbf{.}\mathbf{693}}{\mathbf{5715}\mathbf{}\mathbf{yr}}$**

**k = 1.2126x10 ^{-4} yr^{-1}**

A wooden artifact from a Chinese temple has a ^{14}C activity of 37.6 counts per minute as compared with an activity of 58.2 counts per minute for a standard of zero age.

From the half-life for ^{14}C decay, 5715 yr, determine the age of the artifact.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Carroll's class at UW-SEATTLE.