We have: 0.77x = x * (1/2)^(t/5730), where x is the carbon-14 activity of a living plant.
Solving the above equation, we have: 0.77 = (1/2)^(t/5730) ln (0.77) = ln (1/2)^(t/5730) ln (0.77) = (t / 5730) * ln (1/2) 5730 * ln (0.77) = t * ln (1/2) t = (5730 * ln (0.77)) / ln (1/2) t = 2160.609089 t ~ 2161 The age of the sample is approximately 2161 years old.
When the organism dies, however, it ceases to incorporate carbon into its body.
If you have a certain amount of a radioactive material, its half-life is the time it.
Carbon-14 Science Video PBS." /Radioactive Decay of Carbon-14 Science Video PBS.
Carbon dating has given archeologists a more accurate method by which they can determine the age of ancient artifacts.
Libby invented carbon dating for which he received the Nobel Prize in chemistry in 1960.