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Solved: Rhenium has two naturally occurring isotopes: Re-185 with a natural abundance of

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

Solution for problem 116P Chapter 4

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 116P

Rhenium has two naturally occurring isotopes: Re-185 with a natural abundance of 37.40% and Re-187 with a natural abundance of 62.60%. The sum of the masses of the two isotopes is 371.9087 amu. Find the masses of the individual isotopes.

Step-by-Step Solution:

Solution 116P

Explanation:

The atomic weight of Rhenium (Re) as found on the periodic table of the elements is 186.207. Let x = the atomic weight of Re-185 and (371.9087 - x) = the atomic weight of Re-187.

Known/Given:

atomic weight of Re = 186.207 amu

x = atomic weight of Re-185 in amu

(371.9087 - x) = atomic weight of Re-187 in amu

abundance of Re-185 = 37.40% = 0.3740

abundance of Re-187 = 62.60% = 0.6260

Unknown:

atomic masses of Re-185 and Re-187

Solution:

Note: In order to reduce rounding errors, I will include guard digits and round to the proper number of significant figures at the end.

Step 1:

 Multiply x times the abundance of Re-185 and multiply (371.9087 - x) times the abundance of Re-187.

Re-185: (0.3740)(x) = 0.3740x

Re-187: (0.6260)(371.9087 - x) = 232.8148462 - 0.6260x

Step 2 of 4

Chapter 4, Problem 116P is Solved
Step 3 of 4

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

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Solved: Rhenium has two naturally occurring isotopes: Re-185 with a natural abundance of