What is the carbon-14 dating equation?

1 Answer
Feb 29, 2016

#(5730/-0.693)ln(N_t/N_0)#

Explanation:

General formula for time #t# used in Carbon-14 dating is #(5730/-0.693)ln(N_t/N_0)#.

If a fossil has say 25% of carbon-14 as compared to living sample than it is 11460 years old (as it has one-fourth carbon it is 5730*2=11460 years old).

As in the above example #(N_t/N_0=0.25)# and #ln0.25=-1.386#

#t=(5730/-0.693)*(-1.386)=5730*2=11460# years.