The Mole (AQA GCSE Chemistry)
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The mole
Higher tier only
Chemical amounts are measured in moles
The mole, symbol mol, is the SI unit of amount of substance
One mole of a 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
The mass of 1 mole of a substance is known as the molar mass
For an element, it is the same as the relative atomic mass written in grams
For a compound, it is the same as the relative molecular or formula mass in grams
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
Examiner Tips and Tricks
You need to appreciate that the measurement of amounts in moles can apply to atoms, molecules, ions, electrons, formulae and equations. E.g. in one mole of carbon (C) the number of atoms is the same as the number of molecules in one mole of carbon dioxide (CO2).
The mole and atomic mass
One mole of any element is equal to the relative atomic mass of that element in grams
This is called the molar mass
If you had 6.02 x 1023 atoms of carbon 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 would have a mass of 4 g (Ar of He is 4), one mole of lithium would have a mass of 7 g (Ar of Li is 7) and so on
To find the mass of one mole of a compound, we add up the relative atomic masses
So one mole of water would have a mass of (2 x 1) + 16 = 18 g
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
Examiner Tips and Tricks
Remember the key link between moles and mass: one mole of any element is equal to that elements atomic mass in grams.
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Calculating moles & masses
Higher tier only
Although elements and chemicals react with each other in molar ratios, in the laboratory we use digital balances and grams to measure quantities of chemicals as it is impractical to try and measure out moles
Therefore, we have to be able to convert between moles and grams
We can use the following formula to convert between moles, mass in grams and the molar mass:
Formula triangle for moles, mass and molar mass
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
This comes to 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
This comes to = 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.
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