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Chlorine exists naturally as a mixture of about 76% chlorine-35 and 24% chlorine-37.

It has an atomic mass of 35.453 amu. Because atomic mass is a weighted average, the

chlorine-35 atoms, which exist in greater abundance than the chlorine-37 atoms, have a

greater effect in determining the atomic mass. The atomic mass of chlorine is calculated

by multiplying each isotope’s percent abundance by its atomic mass and then adding

the products. The process is similar to calculating an average grade. You can calculate

the atomic mass of any element if you know the number of naturally occurring isotopes,

their masses, and their percent abundances.

Isotope abundances

 Analyzing an element’s

mass can indicate the most abundant isotope for

that element. For example, fluorine (F) has an

atomic mass that is extremely close to 19 amu. If

fluorine had several fairly abundant isotopes, its

atomic mass would not likely be so close to a

whole number. Thus, you might conclude that

all naturally occurring fluorine is probably in

the form of fluorine-19 ​

(

​ 

19

9

 ​F

)

​. Indeed, 100% of

naturally occurring fluorine is in the form of

fluorine-19. While this type of reasoning

generally works well, it is not foolproof. Consider

bromine (Br). It has an atomic mass of 79.904 amu.

With a mass so close to 80 amu, it seems likely

that the most common bromine isotope would be

bromine-80. However, bromine’s two isotopes are

bromine-79 (78.918 amu, 50.69%) and bromine-81

(80.917 amu, 49.31%). There is no bromine-80 isotope.

Figure 19

shows one of the major production sites of bromine, located in the Dead Sea area.

Figure 19 

Bromine is extracted from sea water and salt lakes.

The Dead Sea area of Israel is one of the major bromine

production sites in the world. Applications of bromine include

microbe and algae control in swimming pools. It is also used

in medicines, oils, paints, pesticides, and flame retardants.

Get It?

Infer

how atomic mass changes from element to element as you move horizontally

across the periodic table.

EXAMPLE

 Problem 3

CALCULATE ATOMIC MASS 

Given the data in the table, calculate the atomic mass of unknown

Element X. Then, identify the unknown element, which is used medically to treat some mental

disorders.

1 

ANALYZE THE PROBLEM

Calculate the atomic mass and use the periodic table to confirm.

Known

Unknown

6

X: mass

=

6.015 amu

atomic mass of X

=

? amu

abundance

=

7.59%

=

0.0759

7

X: mass

=

7.016 amu

element X

=

?

abundance

=

92.41%

=

0.9241

Isotope Abundance for Element X

Isotope Mass (amu)

Percent

Abundance

6

X

6.015

7.59%

7

X

7.016

92.41%

96 

Module 3 • The Structure of the Atom