Amount in moles substances

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 × 1023 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
 
n =m
M
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)
 
n = cV
solution of known concentration (c) in
 can be calculated by multiplying by the volume (V) in
.
 
Practice:  Calculate the amount in moles of NaNO3 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).