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 1000 atoms of carbon-14 and 1000 atoms of nitrogen.

If carbon-14 has a half-life of 57-- years, how old is the fossil?

A. 11,400 years old
B. 5700 years old
C. 2850 years old
D. 17,100 years old.

Answers

Answer 1

The half life of carbon -14 is 5730 years. The carbon -14 undergoes decays to form nitrogen -14. 1000 atoms of nitrogen is formed from 1000 atoms of carbon. Hence carbon -14 decayed from 2000 atoms to 1000. Therefore it is decayed by one half life and the age of the sample is about 5700 years or more accurately 5730 years.

What is radioactive decay?

Unstable radioactive  isotopes of atoms undergo spontaneous nuclear decay by the emission of charged particles such as alpha or beta. The time required to decay half of the initial amount of the isotope is called half life.

Carbon -14 undergo beta decay and the nuclear reaction is given as follows:

[tex]\rm _{6} ^{14}C \rightarrow _{7}^{14}N + _{-1}^{0}e[/tex]

Thus, one carbon atom is converted one nitrogen atom. Hence, 1000 nitrogen atoms are formed from 1000 carbon atoms. The remaining number of carbon atoms in the rock sample is 1000. Thus, the initial amount was 2000.

The half life of carbon -14 is about 5700 years. Hence, it takes 5700 years to decay from 2000 to 1000 atoms. Therefore, option B is correct.

To find more on carbon-14, refer here:

https://brainly.com/question/4206267

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Hello There!

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