The concept of
amount in moles is central to chemistry because it enables us to keep track of the
number of molecules, atoms, or ions in a sample of a substance. Amount in moles is a
counting unit (6.022 × 10
23 mol
–1). Other more familiar counting units are a pair (2 pr
–1) and a dozen (12 dozen
–1).
A mole of water molecules has 6.022 × 1023 H2O.
A mole of helium atoms has 6.022 × 1023 He.
A mole of sodium ions has 6.022 × 1023 Na+.
The
amount in moles of substance in a
weighed sample can be calculated by dividing the mass (
m) by the molar mass (
M), the mass of 1 mole of substance.
Practice: Calculate the amount in moles of Na2CO3 in a 3.00 g Na2CO3. M(Na2CO3) is 106 g mol–1.
Answer: 0.0283 mol (note the answer has three significant figures because all data has three significant figures)
solution of known concentration (
c) in
can be calculated by multiplying by the volume (
V) in
.
Practice: Calculate the amount in moles of NaNO
3 in 38.5
of a 0.215
solution.
Answer: 0.00828 mol (be sure to convert volume in
to volume in
)
Rearranged forms of the relationships can be used to calculate any variable in these equations provided the other two are known (
m =
nM and
c=
n/V).