The age of the remnants is calculated as 3807 years.
<h3>What is the half life?</h3>
The half life is the time taken for only half of the number of the radioactive atoms to remain.
Half life of carbon - 14 = 5730 years.
Initial count rate = 8.0 counts per minute per gram
Count rate at time t = 12.7 counts per minute per gram of carbon
Since;
0.693/t1/2 =2.303/t log (N/No)
0.693/5730 = 2.303/t log (12.7/8)
1.21 * 10^-4 = 2.303/t * 0.2
t = 2.303 * 0.2/1.21 * 10^-4
t = 0.4606/1.21 * 10^-4
t = 3807 years
Learn more about carbon-14:brainly.com/question/4206267
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