The Mole (Oxford AQA IGCSE Combined Science Double Award)
Revision Note
Written by: Philippa Platt
Reviewed by: Stewart Hird
The Mole
One mole of any element is equal to the relative atomic mass of that element in grams
If you had 1 mole of carbon atoms in your hand, that number of carbon atoms would have a mass of 12 g (because the Ar of carbon is 12)
So, one mole of helium atoms has a mass of 4 g (Ar of He is 4)
One mole of lithium has a mass of 7 g (Ar of Li is 7) and so on
One mole of any compound is the relative molecular mass or relative formula mass in grams
To find the mass of one mole of a compound, add up the relative atomic masses
For example, carbon dioxide has an Mr of:
(1 x C) + (2 x O)
(1 x 12) + (2 x 16) = 44
Moles, mass and relative mass
The number of moles of any chemical can be calculated using:
Moles =
We can use the following formula triangle to convert between moles, mass in grams and the molar mass:
Formula triangle for mass (g), moles and relative formula mass
Calculating the number of moles of an element uses the same equation, but with relative atomic mass replacing M
Worked Example
What is the mass of 0.250 moles of zinc?
Answer:
From the Periodic Table, the relative atomic mass of Zn is 65
So, the molar mass is 65 g / mol
The mass is calculated by moles x molar mass:
0.250 mol x 65 g / mol = 16.25 g
Worked Example
How many moles are in 2.64 g of sucrose, C12H22O11 (Mr = 342)?
Answer:
The molar mass of sucrose is 342 g / mol
The number of moles is found by mass ÷ molar mass:
= 7.72 x 10-3 mol
Examiner Tips and Tricks
Always show your workings in calculations as its easier to check for errors and you may pick up credit if you get the final answer wrong.
Calculating Moles & Masses
Chemical amounts are measured in moles
The mole, symbol mol, is the SI unit of amount of substance
One mole of any substance contains the same number of the stated particles
This can be atoms, molecules or ions
One mole contains 6.02 x 1023 particles
This number is known as the Avogadro constant
For example:
One mole of sodium (Na) contains 6.02 x 1023 atoms of sodium
One mole of hydrogen (H2) contains 6.02 x 1023 molecules of hydrogen
One mole of sodium chloride (NaCl) contains 6.02 x 1023 formula units of sodium chloride
Worked Example
For magnesium chloride, MgCl2, calculate the number of:
Formula units in 1 mole
Atoms in 1 mole
Chloride ions in 1 mole
Magnesium ions in 2 moles
Answers:
The formula unit is MgCl2, so 1 mole of MgCl2 is:
1 x 6.02 x 1023 = 6.02 x 1023 formula units
There are 3 atoms in MgCl2, so 1 mole of MgCl2 contains:
3 x 6.02 x 1023 = 18.06 x 1023 atoms
There are 2 chloride ions in MgCl2, so 1 mole of MgCl2 contains:
2 x 6.02 x 1023 = 12.04 x 1023 chloride ions
There is 1 magnesium ion in MgCl2, so 2 mole of MgCl2 contains:
2 x (1 x 6.02 x 1023) = 12.04 x 1023 magnesium ions
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