ILL GIVE BRAINLIEST PLZ HELP. Atoms of carbon-14 are radioactive. They decay into atoms of the element nitrogen. Suppose that a sample of rock is taken from a fossil. The sample has 500 atoms of carbon-14 and 1500 atoms of nitrogen. If carbon-14 has a half-life of 5700 years, how old is the fossil? 5700 years old 11,400 years old 17,100 years old 2850 years old

11,400 years old

Explanation:

The total  number of atoms present at the beginning = number of C-14 + number of N-14 atoms.

Hence;

1500 + 500 = 2000 atoms = No

At time t, N = 500 atoms of C-14 remains

Since the half life of C-14 (t1/2) = 5700 years

N/No = (1/2)^t/t1/2

500/2000 =  (1/2)^t/5700

1/4 = (1/2)^t/5700

(1/2)^2 =(1/2)^t/5700

2 = t/5700

t = 2 * 5700

t = 11,400 years old

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