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PIT_PIT [208]
3 years ago
6

Could someone please help me with this? Assume that the half-life of ^14C is 6000 years. State the estimated age of a sample of

mummified skin from a prehistoric human that contained 6.25 percent of an original quantity of ^14C.
Geography
1 answer:
alukav5142 [94]3 years ago
5 0

Given:

half life of ^{14}C , t_{\frac{1}{2}} = 6000 years

%quantity contained in sample,  N_{t} = 6.25% N_{o} original quantity = 0.0625N_{o}

Formula used:

Formula for carbon dating is given by:

t = \frac{\ln \frac{N}{N_{o}}}{-0.693}.t_{\frac{1}{2}}

where,

N_{t} = amount of radio active material

N_{o} = amount of original material

t_{\frac{1}{2}} = half life

Solution:

Using the formula mentioned above with suitable values given:

t = \frac{\ln \frac{0.0625N_{o}}{N_{o}}}{-0.693}\times 6000

t = \frac{\ln 0.0625}{-0.693}\times 6000

t = 24005.097 years

Therefore, the estimated age of the sample of the mummified skin is 24005.097 years

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