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# Silicon has three naturally occurring isotopes: Si-28 with ## Problem 102P Chapter 4

Introductory Chemistry | 5th Edition

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Problem 102P

Silicon has three naturally occurring isotopes: Si-28 with mass 27.9769 amu and a natural abundance of 92.21%, Si-29 with mass 28.9765 amu and a natural abundance of 4.69%, and Si-30 with mass 29.9737 amu and a natural abundance of 3.10%. Calculate the atomic mass of silicon.

Step-by-Step Solution:

Solution 102P

Here, we are going to calculate the atomic mass of silicon.

Step 1:

Atomic mass can be defined as the average mass of the isotopes of that element. If an element has no isotopes, then the mass of its atom would be the same as the sum of protons and neutrons in it. But if an element occurs in isotopic forms, then we have to know the percentage of each isotopic form and then the average mass is calculated.

The general formula for calculating the atomic mass of an element having n number of isotopes is given below:

Atomic mass = (fraction of isotope n) x (mass of isotope n)        ----(1)

Step 2:

Given, percentage abundance of Si-28 isotope = 92.21 %

Therefore, fraction of Si-28 isotope = 92.21 / 100 = 0.9221

Mass of Si-28 isotope = 27.9769 amu

Percentage abundance of Si-29 isotope = 4.69 %

Therefore, fraction of Si-29 isotope = 4.69 / 100 = 0.0469

Mass of Si-29 isotope = 28.9765 amu

Percentage abundance of Si-30 isotope = 3.10 %

Therefore, fraction of Si-30 isotope = 3.10 / 100 = 0.0310

Mass of Si-30 isotope = 29.9737 amu

Step 3 of 3

##### ISBN: 9780321910295

The full step-by-step solution to problem: 102P from chapter: 4 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. The answer to “Silicon has three naturally occurring isotopes: Si-28 with mass 27.9769 amu and a natural abundance of 92.21%, Si-29 with mass 28.9765 amu and a natural abundance of 4.69%, and Si-30 with mass 29.9737 amu and a natural abundance of 3.10%. Calculate the atomic mass of silicon.” is broken down into a number of easy to follow steps, and 46 words. Since the solution to 102P from 4 chapter was answered, more than 321 students have viewed the full step-by-step answer. This full solution covers the following key subjects: mass, abundance, natural, AMU, Silicon. This expansive textbook survival guide covers 19 chapters, and 2045 solutions. This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5. Introductory Chemistry was written by and is associated to the ISBN: 9780321910295.

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