A piece of charcoal used for cooking is found at the remains of an ancient campsite. A 0.8 kg sample of carbon from the wood has an activity of 1770 decays per minute. Find the age of the charcoal. Living material has an activity of 15 decays/minute per gram of carbon present and the half-life of 14C is 5730 y. Answer in units of y

t = 15825.11 years

Step-by-step explanation:

From the given information:

We can make use of the activity of the sample present after time "t" to determine the age of the sample.

This can be expressed by the formula:

--- (1)

where;

= activity of the sample at time t = 0

= disintegration constant

If we replace the value of  into equation (1), we have:

By rearrangement:

t = 15825.11 years

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step-by-step explanation:

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