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Homework Statement
Determine how old is a fossile where a 14C/12C ratio of 6.1 x 10^-13 is measured. 14C desintegration has a half-life of 5760 +- 40 years and proportion 14C/12C in living tissue is 1.17 x 10^-12. Determine the error in your calculation.
Homework Equations
Radioactive decay equation N=N0 exp(-kt/T)
The Attempt at a Solution
If N0= 1.17x10^-12
N = 6.1x10^-13
k= 0.693
T = 5800 or 5720
Solving in the equation gives
t= 5451 years for 5800 half-life and
t= 5376 years for 5720 half-life.
But inst supposed to be more years than the half-life of 14C?
I don't understand please help me.