122 8 · THE MOLE
Example 8.1
How many moles of hydrated copper(II) sulfate (CuSO 4 · 5H 2 O)
are contained in 5.00 g of the substance?
Answer
m(CuSO 4 · 5H 2 O)(63.5 32 4(16)5(18))249.5 u
therefore,
M(CuSO 4 · 5H 2 O)249.5 g mol^1.
The amount of copper sulfate in moles
mass
molar mass
5.00
0.0200 mol
249.5
Example 8.2
0.059 mol of calcium carbonate (CaCO 3 ) is required in an
experiment. What mass of CaCO 3 needs to be weighed out?
Answer
M(CaCO 3 )100 g mol^1
Therefore, mass of calcium carbonate
amount of calcium carbonate in moles molar mass
0.059 100 5.9 g
Example 8.3
0.20 mol of a compound containing carbon and hydrogen has a
mass of 3.2 g. What is the molecular mass of the compound?
What is its likely formula?
Answer
molar mass
mass
amount of substance in moles
3.2
0.20
16 g mol^1
SinceM(compound)16 g mol^1 ,m(compound)16 u.
Carbon has an atomic mass of 12. The molecule is likely to be methane (CH 4 ) with
m(CH 4 ) 12 1 1 1 1 16 u
Comment
Where there could be confusion, you should always be careful to specify exactly
the substance you are referring to. For example the statement ‘1 mol of hydrogen’
could mean 1 mol of H atoms or1 mol of H 2 molecules. These have different
molar masses of 1 g mol^1 and 2 g mol^1 , respectively.