How Do You Calculate the Age of a Wooden Statue Using Carbon-14 Decay?

AI Thread Summary
To calculate the age of a wooden statue using Carbon-14 decay, the formula A = A_0 * 2^(-t/h) is applied, where A is the remaining radioactive material, A_0 is the initial amount, and h is the half-life. If the statue has one-third of its original Carbon-14 content, the equation can be set up as A_0/3 = A_0 * 2^(-t/h). This leads to the conclusion that the age of the statue can be determined by solving for t in the equation. The discussion emphasizes the importance of understanding half-life in the context of radioactive decay for accurate age estimation. Overall, Carbon-14 dating is a reliable method for determining the age of organic materials like wooden statues.
KayD
Messages
1
Reaction score
0

Homework Statement


If A is the amount of radioactive material present at time t, A_0_ was the amount present at t=0, and h is the materials half-life, then A=A_0_ 2^-t/h


Carbon-14 Dating: How old is a wooden statue that remains only one-third of its original carbon-14 content?

A(t)=A_0_a^t

The Attempt at a Solution

 
Physics news on Phys.org
Welcome to PF!

Hi KayD! Welcome to PF! :smile:

You want A(t) = Ao/3.

So Ao/3 = Ao 2^-t/h;

so … ? :smile:
 
Back
Top