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A radiometric dating technique uses the decay of U-238 to

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

Solution for problem 102P 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 102P

A radiometric dating technique uses the decay of U-238 to Pb-206 (the half-life for this process is 4.5 billion years) to determine the age of the oldest rocks on Earth and by implication the age of Earth itself. The oldest uranium- containing rocks on Earth contain approximately equal numbers of uranium atoms and lead atoms. Assuming the rocks were pure uranium when they were formed, how old are the rocks?

Step-by-Step Solution:
Step 1 of 3

Solution 102P:

Here, we are going to determine the age of the rocks.

Step1:

The time taken for one-half of a sample to disappear is called its half life(t1/2). The half life period for the process is 4.5 x 109 years

Now, we know that,

t1/2 =

k =

   =

   = 0.462 x 10-9 yr-1

Step2:

Again, from kinetics we have,

        

                                t = ln (1 +)

Where t = age of the rock

        D = number of atoms of daughter product today

        P = number of atoms of the parent isotope today

        k = decay constant

Since the number of uranium and lead atoms are equal, therefore,...

Step 2 of 3

Chapter 17, Problem 102P is Solved
Step 3 of 3

Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

Since the solution to 102P from 17 chapter was answered, more than 297 students have viewed the full step-by-step answer. This full solution covers the following key subjects: rocks, EARTH, uranium, atoms, were. This expansive textbook survival guide covers 19 chapters, and 2045 solutions. This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5. The full step-by-step solution to problem: 102P from chapter: 17 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. Introductory Chemistry was written by and is associated to the ISBN: 9780321910295. The answer to “A radiometric dating technique uses the decay of U-238 to Pb-206 (the half-life for this process is 4.5 billion years) to determine the age of the oldest rocks on Earth and by implication the age of Earth itself. The oldest uranium- containing rocks on Earth contain approximately equal numbers of uranium atoms and lead atoms. Assuming the rocks were pure uranium when they were formed, how old are the rocks?” is broken down into a number of easy to follow steps, and 70 words.

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