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The hominid fossil found in Thailand was tested with Carbon-14 which has a half-life of 5,000 years. The total mass of the fossil is 15,424 and contains 14,942 grams of Carbon-12. How old is the hominid fossil?

Respuesta :

Eduard22sly

The hominid fossil is 200 years old.

Determination of the number of half-lives

We'll begin by calculating the number of half-lives that has elapsed.

  • Original amount (N₀) = 15424 g
  • Amount remaining (N) = 14942 g
  • Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 15424 / 14942

2ⁿ = 1.03

Take the log of both side

Log 2ⁿ = Log 1.03

nLog 2 = Log 1.03

Divide both side by Log 2

n = Log 1.03 / Log 2

n = 0.04

Determination of the age

Finally, we shall determine the age of the hominid fossil.

  • Half-life (t½) = 5000 years
  • Number of half-lives (n) = 0.04
  • Time (t) =?

t = n × t½

t = 0.04 × 5000

t = 200 years

Therefore, the hominid fossil is 200 years old.

Learn more about half life:

https://brainly.com/question/10406952

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