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C04_028A

17e

CI

35

17

17e

CI

37

17

Calculate the Weighted Average Atomic Mass of Chlorine

17p

18n

Atomic mass: 34.969 amu

Percent abundance: 75.78%

Mass contribution:

(34.969 amu)(75.78%)

=

26.50 amu

Weighted average atomic mass of chlorine

=

(26.50 amu

+

8.953 amu)

=

35.45 amu

17p

20n

Atomic mass: 36.966 amu

Percent abundance: 24.22%

Mass contribution:

(36.966 amu)(24.22%)

=

8.953 amu

Table 4

Masses of Subatomic Particles

Particle

Mass (amu)

Electron

0.000549

Proton

1.007276

Neutron

1.008665

Mass of Atoms

Recall from

Table 3

that the masses of both

protons and neutrons are approximately

1.67

×

10

−24

g. While this is a small mass, the

mass of an electron is even smaller—only about

1/1840 that of a proton or a neutron.

Atomic mass unit

 Because these extremely

small masses expressed in scientific notation

are difficult to work with, chemists have developed a method of measuring the mass of

an atom relative to the mass of a specific atomic standard. That standard is the

carbon-12 atom. Scientists assigned the carbon-12 atom a mass of exactly 12 atomic

mass units. Thus, one

atomic mass unit (amu)

is defined as one-twelfth the mass of a

carbon-12 atom. Although a mass of 1 amu is nearly equal to the mass of a single

proton or a single neutron, it is important to realize that the values are slightly

different.

Table 4

gives the masses of the subatomic particles in terms of amu.

Atomic mass

 Because an atom’s mass depends mainly on the number of protons and

neutrons it contains, and because protons and neutrons have masses close to 1 amu,

you might expect the atomic mass of an element to always be nearly a whole number.

However, this is often not the case. The explanation involves how atomic mass is

defined. The

atomic mass

of an element is the weighted average mass of the isotopes of

that element. Because isotopes have different masses, the weighted average is not a

whole number. The calculation of the atomic mass of chlorine is illustrated in

Figure 18

.

Figure 18 

To calculate the weighted average atomic mass of chlorine, you first need to calculate the mass

contribution of each isotope.

ACADEMIC VOCABULARY

specific

characterized by a precise formulation or

accurate restriction; Some diseases have

specific symptoms.

CROSSCUTTING CONCEPTS

Patterns

 Identify the pattern found in the periodic table as you move

horizontally across the table from potassium to iron by plotting the atomic

number (

x

-axis) vs. the atomic mass (

y

-axis). Describe the trend in your graph,

including an explanation of how the pattern of electrons, neutrons, and

protons accounts for this trend.

Lesson 3 • How Atoms Differ 

95