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gulaghasi [49]
2 years ago
8

The half-life of carbon-14 is approximately 5700 years. An archaeologist unearths a piece of wood that is determined to

Chemistry
1 answer:
masha68 [24]2 years ago
7 0

The age of the ancient piece of wood that she located given the data is 1482 years

How to determine the number of half-lives

Original amount (N₀) = 100%

Amount remaining (N) = 83%

Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 100 / 83

2ⁿ = 1.2

Take the Log of both side

Log 2ⁿ = Log 1.2

nLog 2 = Log 1.2

Divide both side by Log 2

n = Log 1.2 / Log 2

n = 0.26

How to determine the age

Number of half-lives (n) = 0.26

Half-life (t½) = 5700 years

Time (t) =?

t = n × t½

t = 0.26 × 5700

t = 1482 years

Learn more about half life:

brainly.com/question/26374513

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