A sample of charcoal is found to have only 1/8th of Carbon-14. Half-life of Carbon-14 is 5730yrs, what is the age of the charcoal?

2 answers

k = 0.693/t1/2
Substitute and solve for k.

ln(No/N) = kt
Pick any convenient number for No, such as 100.
Then N = 1/8 that or 12.5
k = from above.
Solve for t in years if half life is in years.
716