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4. If 13 percent of the carbon-14 in a sample of cotton cloth remains, what's the approximate age of the cloth? Show your work

Respuesta :

Eduard22sly

The approximate age of the cloth is 17190 years.

We'll begin by calculating the number of half-lives that has elapsed. This can be obtained as follow:

  • Original amount (N₀) = 100%
  • Amount remaining (N) = 13%
  • Number of half-lives (n) =?

2ⁿ = 100 / 13

2ⁿ = 8

2ⁿ = 2³

n = 3

Finally, we shall determine the age of the cloth.

  • Half-life (t½) = 5730 years
  • Number of half-lives (n) = 3
  • Time (t) =?

t = n × t½

t = 3  × 5730

t = 17190 years

Thus, the approximate age of the cloth is 17190 years

Learn more about half life:

https://brainly.com/question/25960173

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