Respuesta :
The half-life equation [tex]m=m_{0} (\frac{1}{2})^n[/tex] in which n is equal to the number of half-lives that have passed can be altered to solve for n.
[tex]n = \frac{log(\frac{m}{m_{0}} )}{log(\frac{1}{2})}[/tex]
[tex]\frac{log(\frac{.25}{1} )}{log(\frac{1}{2})} = 2[/tex]
Then, the number of half-lives that passed can be multiplied by the length of a half-life to find the total time.
2 * 5700 = 11400 yr
11400 years ago was this shell part of a living oranism.
How do you calculate the age of a fossil using half life?
- You need to increase the number of half-lives by the number of years in a half-life after you know how many half-lives have elapsed for your fossil.
- Your age is now 2 x 5730 = 11,460 years.
- Your fossil is that of a living thing that perished 11,460 years ago possibly a human.
How do you determine how old a fossil is?
- By contrasting a fossil with related rocks and fossils of known ages, relative dating is performed to determine the approximate age of the fossil.
- By measuring the decay of isotopes within the fossil or, more frequently, the rocks associated with it, radiometric dating is used to estimate an exact age of a fossil.
How can carbon-14 be used to determine the age of fossils?
- Enter 92 in the first row as the amount of carbon-14 that is still present in the sample.
- The carbon 14 half-life is 5,730 years.
- The end result is the calculated time elapsed, which is 689 years in the third row, and the sample age, which is 690 (+/-5) years.
According to the question:
To find n, one can modify the half-life equation [tex]m = m_{0} (\frac{1}{2}) ^{2}[/tex], where n represents the number of half-lives that have already passed.
[tex]n = \frac{log\frac {m}{m_{0} } }{log\frac{1}{2} }[/tex]
[tex]2 = \frac{log(\frac {25}{_{1} }) }{log(\frac{1}{2}) }[/tex]
The total time can then be calculated by multiplying the number of half-lives by the average half-life.
= 2×5700.
= 11,400 years.
Learn more about age of fossils here:
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