Answer to Question #112606 in Atomic and Nuclear Physics for Nya

Question

6. A wooden boat is found buried beneath the ocean floor. Scientists believe that timbers making up the boat had 8 g of carbon-14 in them when alive. They now have 2.3 g of carbon-14. How old is the boat if the half-life of carbon-14 is 5715 years?

Answer 1

$$N=N_02^{-\frac{t}{T}}\\ 2.3=8\cdot2^{-\frac{t}{5715}}$$

$$t=10227.7\ years$$