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BARSIC [14]
3 years ago
12

What is the age of mummified primate skin that contains 8.25% of the original quantity of 14C?

Chemistry
1 answer:
rjkz [21]3 years ago
8 0

Answer:

20619.4793 years

Explanation:

The half life of carbon-14 = 5730 years

The formula for the half life for a first order kinetic reaction is:

t_{1/2}=\frac {ln\ 2}{k}

Where,  

t_{1/2} is the half life

k is the rate constant.

Thus rate constant is:

5730 years=ln(2)/k

k = 1.21×10⁻⁴ years ⁻¹

Using integrated rate law as:

ln\ \frac {A_t}{A_0}=-k\times t

Where,

A_t is the concentration at time t

A_0 is the initial concentration

Given that the final concentration contains 8.25 % of the original quantity which means that:

\frac {A_t}{A_0}=0.0825

So,

ln(.0825)= -1.21×10⁻⁴×t

<u> t = 20619.4793 years</u>

<u></u>

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