Find the age of a sample, if the total mass of carbon in thesample is , the activity of the sample is , the current ratioof the mass of to the total massof carbon in the atmosphere is , and the decay constant of is .

Thereafter, the concentration (fraction) of 14C declines at a fixed exponential rate due to the radioactive decay of 14C. ) Comparing the remaining 14C fraction of a sample to that expected from atmospheric 14C allows us to estimate the age of the sample.

Raw (i.e., uncalibrated) radiocarbon ages are usually reported in radiocarbon years "Before Present" (BP), with "present" defined as CE 1950.

Carbon-14, an unstable isotope of carbon, follows a well-knownsequence of decay processes.

The decay constants of these processeshave been well established, allowing researchers to determine theage of an artifact knowing both the original amount of and the currentamount.

Ionization Inverse Square Law Interaction of RT/Matter Attenuation Coefficient Half-Value Layer Sources of Attenuation -Compton Scattering Geometric Unsharpness Filters in Radiography Scatter/Radiation Control Radiation Safety Radio-carbon dating is a method of obtaining age estimates on organic materials.

The word "estimates" is used because there is a significant amount of uncertainty in these measurements.

Anthropologists can estimate the age of a bone or other organic matter by its carbon-14 content.

The carbon-14 in a living organism is constant until the organism dies, after which carbon-14 decays with first-order kinetics and a half-life of 5730 years.

Each sample type has specific problems associated with its use for dating purposes, including contamination and special environmental effects.

More information on the sources of error in carbon dating are presented at the bottom of this page.

They find that the present activity of the artifact is 9.25 decays/s and that the mass of carbon in the artifact is 0.100 kg. I know the equation is ln((activity/lambda)/((mass of Carbon x r)/(m_a)).