Solution
One mole of O 2 contains 6.02 1023 O 2 molecules, and its mass is 32.0 g.
(a) _?_ mol O 2 40.0 g O 2 1.25 mol O 2
(b) _?_ O 2 molecules40.0 g O 2
7.52 1023 molecules
Or,we can use the number of moles of O 2 calculated in part (a) to find the number of O 2 mol-
ecules.
_?_ O 2 molecules1.25 mol O 2 7.52 1023 O 2 molecules
(c) _?_ O atoms40.0 g O 2
1.50 1024 O atoms
You should now work Exercise 30.
EXAMPLE 2-10 Numbers of Atoms
Calculate the number of hydrogen atoms in 39.6 g of ammonium sulfate, (NH 4 ) 2 SO 4.
Plan
One mole of (NH 4 ) 2 SO 4 is 6.02 1023 formula units and has a mass of 132.1 g.
88n88n88n H atoms
Solution
formula units of
(NH 4 ) 2 SO 4
mol of
(NH 4 ) 2 SO 4
g of
(NH 4 ) 2 SO 4
2 O atoms
1 O 2 molecule
6.02 1023 O 2 molecules
32.0 g O 2
6.02 1023 O 2 molecules
1 mol O 2
6.02 1023 O 2 molecules
32.0 g O 2
1 mol O 2
32.0 g O 2
In Example 2-10, we relate (a) grams
to moles, (b) moles to formula units,
and (c) formula units to H atoms.
66 CHAPTER 2: Chemical Formulas and Composition Stoichiometry
You should now work Exercise 38.
PERCENT COMPOSITION AND FORMULAS
OF COMPOUNDS
If the formula of a compound is known, its chemical composition can be expressed as the
mass percent of each element in the compound (percent composition). For example, one
2-8
_?_ H atoms39.6 g (NH 4 ) 2 SO 4
1.44 1024 H atoms
8 H atoms
1 formula units (NH 4 ) 2 SO 4
6.02 1023 formula units (NH 4 ) 2 SO 4
1 mol (NH 4 ) 2 SO 4
1 mol (NH 4 ) 2 SO 4
132.1 g (NH 4 ) 2 SO 4