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Brut [27]
2 years ago
15

The half-life of carbon-14 is 5,730 years. Dating organic material by looking for C-14 can't be accurately done after 50,000 yea

rs. Suppose a fossilized tree branch originally contained 4.30 grams of C-14. How much C-14 would be left after 50,000 years?
Chemistry
1 answer:
ki77a [65]2 years ago
7 0

Answer:

0.010g of C-14 would be later after 50,000 years

Explanation:

The kinetics of radioactive decay follows the equation:

Ln (N / N₀) = -kt

<em>Where N could be taken as mass after time t, </em>

<em>N₀ initial mass = 4.30g;</em>

k is rate constant = ln 2 / t(1/2)

<em>= ln 2 / 5730years = 1.2097x10⁻⁴ years ⁻¹</em>

<em />

Replacing:

Ln (N / 4.30g) = -1.2097x10⁻⁴ years ⁻¹ * 50000 years

N / 4.30 = 2.36x10⁻³

N =

<h3>0.010g of C-14 would be later after 50,000 years</h3>
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<h3>Further explanation</h3>

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