The Mole
In the last chapter, we reviewed the process of balancing
equations and based the rules for balancing equations on the principle
that matter is neither created nor destroyed in the course of a
chemical reaction. With this idea still in mind, let’s begin our
discussion of moles and formula weights.
When you look at the periodic table, you see that one
of the pieces of data given for each element is its atomic weight.
But what exactly is the atomic weight of a substance? It is the mass
of one mole of a substance. In turn, one
mole of a
substance is equal to 6.02

10
23 atoms
or molecules of the substance (depending on what it is), and finally,
the number 6.02

10
23 is
known as
Avogadro’s number. For example, carbon’s atomic
weight is roughly 12 amu; this means that 6.02

10
23 carbon
atoms, in a pile, weigh 12 grams.
In order to find the formula weight of a
substance, you simply add up the atomic masses of all of the atoms
in the molecular formula of a compound. But don’t forget to multiply the
atomic mass of each element by the subscript behind that element.
Formula weights have the units amu, or atomic mass units; for example,
the formula weight of water, H2O, is about
18 amu. (O = 16 amu plus 2 times H = 1 amu = 18 amu.) Similarly,
the molar mass of a molecule is the mass (in grams)
of 1 mol of a substance; so the molar mass of H2O
is also roughly 18.
Now try calculating some molar masses and formula weights
on your own by filling in the following chart.
Example
| Substance |
Molar mass |
Number of moles |
Mass in grams |
Number of particles |
| Carbon dioxide, CO2 |
|
3.0 |
|
|
| Oxygen, O2 |
|
|
64.0 |
|
| Methane, CH4 |
|
0.279 |
|
|
| Nitrogen, N2 |
|
|
|
9.50 1025 |
Explanation
Three significant digits were used throughout, with the
exception of molar masses, where two decimal places were used. But
don’t stress over significant figures for this test: it’s multiple
choice, and the answers will never be that precise. Here’s the table,
filled in.
| Substance |
Molar mass |
Number of moles |
Mass in grams |
Number of particles |
| Carbon dioxide, CO2 |
44.01 |
3.00 |
132 |
1.81 1024 |
| Oxygen, O2 |
32.00 |
2.00 |
64.0 |
1.20 1024 |
| Methane, CH4 |
16.05 |
0.279 |
4.48 |
1.68 1023 |
| Nitrogen, N2 |
28.02 |
158.00 |
4430 |
9.50 1025 |
Now that you’ve had some practice figuring out molecular
weights, let’s talk about how you’ll be expected to use them, and
other stoichiometric tools, on the exam. For example, you will almost
certainly be asked to find the percent composition of a compound,
so let’s talk about that first.