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An ancient skull has a carbon-14 content of 1.563% of that

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro ISBN: 9780321910295 34

Solution for problem 81P Chapter 17

Introductory Chemistry | 5th Edition

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Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

Introductory Chemistry | 5th Edition

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Problem 81P

An ancient skull has a carbon-14 content of 1.563% of that found in living organisms. How old is the skull?

Step-by-Step Solution:
Step 1 of 2

Solution 81P:

Here, we are going to calculate the old of the skull.

Step1:

 Half life period of the carbon-14 is 5730 years

We know,

t1/2 =

k =

   =

= 1.209x 10-4 yr-1

Step 2:

We know,

-kt = ln= ln = -4.15856

 =  = 3.43967  x 104 yr

                

= 34396.7 yr

Thus, the skull  is  34396.7  years old.

Note,  if we take, -4.159 instead of -4.15856

Step 2 of 2

Chapter 17, Problem 81P is Solved
Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

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An ancient skull has a carbon-14 content of 1.563% of that

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