Ar & Mr
Relative Atomic Mass
- The symbol for relative atomic mass is Ar
- The relative atomic mass for each element can be found in the Periodic Table, along with the atomic number
- Relative atomic mass is shown above the atomic symbol
- It is always larger than the atomic number (except for hydrogen, where they are the same)
Key for chemical symbols on the Periodic Table
This key is given on the Periodic Table in exams and shows that the top number is the relative atomic mass.
- Atoms are too small to accurately weigh but scientists needed a way to compare the masses of atoms
- Carbon-12 is used as the standard atom and has a fixed mass of 12 units
- The mass of all other atoms are compared against carbon-12
- The relative atomic mass of carbon is 12
- The relative atomic mass of magnesium is 24 which means that magnesium is twice as heavy as carbon
- The relative atomic mass of hydrogen is 1 which means it has one-twelfth the mass of one carbon-12 atom
Examiner Tip
- Relative atomic mass (Ar) is the average mass of the isotopes of an element compared to 1/12th of the mass of an atom of 12C
- You are not required to know this definition but it can help with your understanding
Relative molecular (formula) mass
- The symbol for the relative molecular mass is Mr and it refers to the total mass of the molecule
- To calculate the Mr of a substance, you have to add up the relative atomic masses of all the atoms present in the formula
- Relative formula mass is used when referring to the total mass of an ionic compound
Relative Formula Mass Calculations Table
Substance | Atoms present | Calculation | Mr |
Hydrogen H2 |
2 x H | (2 x 1) | 2 |
Water H2O |
(2 x H) + (1 x O) | (2 x 1) + (1 x 16) | 18 |
Potassium carbonate K2CO3 |
(2 x K) + (1 x C) + (3 x O) | (2 x 39) + (1 x 12) + (3 x 16) | 138 |
Calcium hydroxide Ca(OH)2 |
(1 x Ca) + (2 x O) + (2 x H) | (1 x 40) + (2 x 16) + (2 x 1) | 74 |
Ammonium sulfate (NH4)2SO4 |
(2 x N) + (8 x H) + (1 x S) + (4 x O) | (2 x 14) + (8 x 1) + (1 x 32) + (4 x 16) | 132 |
Worked example
Calculate the relative formula mass of:
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Sodium chloride, NaCl
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Copper oxide, CuO
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Magnesium nitrate, Mg(NO3)2
Answers:
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Sodium chloride
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NaCl = 23 + 35.5 = 58.5
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Copper oxide
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CuO = 63.5 + 16 = 79.5
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Magnesium nitrate
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Mg(NO3)2 = 24 + (14 x 1 x 2) + (16 x 3 x 2) = 148
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Higher tier
- Mass number is the sum of protons and neutrons present in the nucleus
- Mass number is a whole number value
- Relative atomic mass is the ratio of the mass of an element compared to 1/12th of the mass of a carbon atom
- Relative atomic mass can be a decimal