The ratio of 1 c to 12C is 15 percent
of the atmosphere in a piece of wood.
Calculate the age of the wood.
Given: Half life of C is 5580 years
A.
17203 years
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The age of the wood is 53625.6 years.
Explanation:
The age of the wood is given by the formula:
t = (t₀.₅)/0.693 × ln (1C to 12C ratio in atmosphere/1C to 12C ratio in wood)
Where,
t₀.₅ = 5580 years
1C to 12C ratio in atmosphere/1C to 12C ratio in wood = 1/15% = 100/15 = 20/3
On substituting the values, we get,
t = 5580/0.693 × 20/3
t = 8051.9 × 6.66
∴ t = 53625.6 years
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