Question

An archeological artifact has a carbon-14 decay rate of 2.75 dis/min·gC. If the rate of decay of a living organism is 15.3 dis/min·gC, how old is this artifact? Assume that t1/2 for carbon-14 is 5730 yr.1.42 × 104 yr1.209 × 10−4 yr6.16 × 103 yr1.03 × 103 yr

Answer 1

Answer:

2.09 x  10⁻⁴ yr

Explanation:

Use th formula:

ln (Nt/No) = -kt where k = 0.693/ t1/2

then

ln ( 2.75/15.3) = - (0.693/ 5730/yr ) x  t

-1.716 =1.2 x 10⁻⁴  yr  x t ⇒ t=  2.09 x  10⁻⁴ yr

N.B : There is a missing decimal  in the answer.