The Foundations of Chemistry

(Marcin) #1

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.
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