The age of an ancient artifact can be determined by the amou

The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in it. If D_0 is the original amount of carbon-14 and D is the amount remaining, then the artifact\'s age A (in years) is given by A = -8267 ln (D/D_0). Find the age of an object if the amount D of carbon-14 that remains in the object is 73% of the original amount D_0. Calculate the remaining amount of carbon-14 of an ancient artifact if it is known to be 10,000 years old.

Solution

A = -8267 ln (D/Do)

So, D/D0 =0.73
ln(0.73) = - 0.314
A = -(0.314) x (-8267 )

= 2595.83 years

Approximately 2596 yrs.