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De Homework Roy Pearson Google Chrome Secure https://www.mathod.com/student/playerHomework aspx? Homework: Section 7.2 Score: 0 of 1 pt. 12 of 12 (9 complete v HW Score: 66.67%, 8 of 1 7.2.45 Question Help The charcoal from a tree killed in the volcanic eruption that formed a crater contained 3G5 of the carbon-14 ound in living matter irthe har ure of carbon-14 5700 years about how olds me oater? The crater is about years old (Round to the nearest year as needed answer to and fen oli Che All parts showing

Explanation / Answer

A formula to calculate how old a sample is by carbon-14 dating is:

t = [ ln (Nf/No) / (-0.693) ] x t1/2

where ln is the natural logarithm, Nf/No is the percent of carbon-14 in the sample compared to the amount in living tissue, and t1/2 is the half-life of carbon-14 (5,700 years).
So, if you had a fossil that had 35.5 percent carbon-14 compared to a living sample, then that fossil would be:
t = [ ln (0.365) / (-0.693) ] x 5,700 years
t = [ (-1.007) / (-0.693) ] x 5,700 years
t = [ 1.453 ] x 5,700 years
t = 8282.5 years old

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