An archeological speciment containing `.^(14)C` gives 40 counts in 5 mintues per gram of carbon. A specimen of freshly cut wood gives `20.3` counts per gram of carbon per minute. The counter used recorded a background count of 5 counts per mintue in absence of any `.^(14)C` containing sample. What is the age of the speciment? (`T_(50)` of `.^(14)C = 5668` year)

Answer

`13327.8` year