Relative Atomic Mass & Relative Molecular Mass (WJEC GCSE Chemistry)

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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

FAoIXG6n_chemical-symbol-key

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 12
  • 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:

  1. Sodium chloride, NaCl

  2. Copper oxide, CuO

  3. Magnesium nitrate, Mg(NO3)2

Answers:

  1. Sodium chloride

    • NaCl = 23 + 35.5 = 58.5

  2. Copper oxide

    • CuO = 63.5 + 16 = 79.5

  3. Magnesium nitrate

    • Mg(NO3)2 = 24 + (14 x 1 x 2) + (16 x 3 x 2) = 148

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 

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Alexandra

Author: Alexandra

Expertise: Chemistry

Alex studied Biochemistry at Newcastle University before embarking upon a career in teaching. With nearly 10 years of teaching experience, Alex has had several roles including Chemistry/Science Teacher, Head of Science and Examiner for AQA and Edexcel. Alex’s passion for creating engaging content that enables students to succeed in exams drove her to pursue a career outside of the classroom at SME.