carbon dioxide molecule, CO 2 , contains one C atom and two O atoms. Percentage is the
part divided by the whole times 100 percent (or simply parts per 100), so we can repre-
sent the percent composition of carbon dioxide as follows:
2-8 Percent Composition and Formulas of Compounds 67
% C100%100%100% 27.3%
% O100%100%100% 72.7% O
2(16.0 amu)
44.0 amu
2 AW of O
MW of CO 2
mass of O
mass of CO 2
12.0 amu
44.0 amu
AW of C
MW of CO 2
mass of C
mass of CO 2
One moleof CO 2 (44.0 g) contains one moleof C atoms (12.0 g) and two molesof O
atoms (32.0 g). We could therefore have used these masses in the preceding calculation.
These numbers are the same as the ones used—only the units are different. In Example
2-11 we shall base our calculation on one molerather than one molecule.
EXAMPLE 2-11 Percent Composition
Calculate the percent composition by mass of HNO 3.
Plan
We first calculate the mass of one mole as in Example 2-7. Then we express the mass of each
element as a percent of the total.
Solution
The molar mass of HNO 3 is calculated first.
Number of Mol of Atoms Mass of One Mol of Atoms Mass Due to Element
1 H 1 1.0 g 1.0 g of H
1 N 1 14.0 g 14.0 g of N
3 O 3 16.0 g 48.0 g of O
Mass of 1 mol of HNO 3 63.0 g
Now, its percent composition is
% H100%100% 1.6% H
% N100%100% 22.2% N
% O100%100% 76.2% O
Total100.0%
You should now work Exercise 46.
Nitric acid is 1.6% H, 22.2% N, and 76.2% O by mass. All samples of pure HNO 3
have this composition, according to the Law of Definite Proportions.
48.0 g
63.0 g
mass of O
mass of HNO 3
14.0 g
63.0 g
mass of N
mass of HNO 3
1.0 g
63.0 g
mass of H
mass of HNO 3
As a check, we see that the percentages
add to 100%.
When chemists use the % notation,
they mean percent by mass unless they
specify otherwise.