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Amanda [17]
3 years ago
12

The practical limit to ages that can be determined by radiocarbon dating is about 41000-yr-old sample, what percentage of the or

iginal 614C atoms remains? (For percentage you can either enter the percentage with a percent sign "65.1%" or the percentage as a fraction "0.651".)
Chemistry
1 answer:
Aloiza [94]3 years ago
3 0

Answer:

In percentage, the sample of C-4 remains = 0.7015 %

Explanation:

The Half life  Carbon 14 =  5730 year

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

Where, k is rate constant

So,  

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

k=\frac {ln\ 2}{5730}\ hour^{-1}

The rate constant, k = 0.000120968 year⁻¹

Time = 41000 years

Using integrated rate law for first order kinetics as:

[A_t]=[A_0]e^{-kt}

Where,  

[A_t] is the concentration at time t

[A_0] is the initial concentration

So,  

\frac {[A_t]}{[A_0]}=e^{-0.000120968\times 41000}

\frac {[A_t]}{[A_0]}=0.007015

<u>In percentage, the sample of C-4 remains = 0.7015 %</u>

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