The
mole of a substance is the mass of that substance that contains same number of particles as is present in 12 g of
12C. Since the mass of one mole of
12C atoms is defined, the mass of one mole of any atom can be deduced from the mass of that atom relative to the mass of an atom of
12C.
4He atoms are one-third as heavy as 12C atoms so 1 mole of 4He atoms must weigh 4.0 g.
Molar mass (
M) is the mass in grams per mole of an entity. This quantity has the unit g mol
–1.
The magnitude of the molar mass for an atom equals the mass number.
The mass number is the larger of the two numbers in the element symbol box in the periodic table.
The molar mass (M) of helium is 4.0 g mol-1.
m = n × Mg = mol
× g
mol
-1 Molar mass (
M) can be used to calculate the
mass (
m) of a given
amount in moles (
n) of a specified entity.
A balloon contains 0.60 mol of helium. What is the mass of helium in the balloon?
m(He) = 0.60 mol × 4.0 g mol-1 = 2.4 g
To help remember how to combine amount in moles (n) and molar mass (M ) to give mass (m), note that multiplying the units of n and M gives the unit of mass.
Molar mass is VERY important because it can be used to relate a measureable property of a sample (mass) to the number of atoms, ions, or molecules present in a sample.
For
substances that exist as entities
containing more than one atom, the
molar mass is equal to the sum of the molar masses of the component atoms.
Elemental hydrogen is also used to fill balloons.
The particles in elemental hydrogen are H
2.
M(H
2) = 2 ×
M(H) = 2×1.0 g mol
–1Note that hydrogen is an exception to the guideline that the mass number is larger than the atomic number. In this one case, the mass number and the atomic number are equal because the most abundant isotope hydrogen has no neutrons.