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nalin [4]
3 years ago
5

Wood deposits recovered from an archaeological site contain 36% of the C-14 they originally contained. How long ago did the tree

from which the wood was obtained die?
Biology
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Answer: It was obtained 8515 years ago

Explanation:

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant

t = age of sample

a = let initial amount of the reactant

a - x = amount left after decay process  

a) to find the rate constant:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

t_{\frac{1}{2}}=\frac{0.693}{k}

k=\frac{0.693}{5760}=0.00012years^{-1}

b) for completion of 36% of reaction

t=\frac{2.303}{k}\log\frac{100}{36}

t=\frac{2.303}{0.00012}\log\frac{100}{36}

t = 8515 years

The time was 8515 years.

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