Isotopic Abundance & Relative Atomic Mass (Cambridge (CIE) A Level Chemistry): Revision Note

Exam code: 9701

Philippa Platt

Written by: Philippa Platt

Reviewed by: Caroline Carroll

Updated on

Calculating Relative Atomic Mass

  • Isotopes are different atoms of the same element that contain the same number of protons and electrons but a different number of neutrons.

    • These are atoms of the same elements but with different mass numbers

  • Because of this, the mass of an element is given as relative atomic mass (Ar) by using the average mass of the isotopes

  • The relative atomic mass of an element can be calculated by using the relative abundance values

    • The relative abundance of an isotope is either given or can be read off the mass spectrum

  • Ar = (relative abundanceisotope 1massisotope 1) +(relative abundanceisotope 2massisotope 2) etc.100

Worked Example

Calculate the relative atomic mass, Ar, of oxygen to 2 d.p.

Isotope

Percentage abundance

16O

99.76

17O

0.04

18O

0.20

Answer:

  • Ar = (99.76 ×16) + (0.04 × 17) + (0.20 × 18)100

  • Ar = 16.0044

  • Ar = 16.00 (to 2 d.p)

Worked Example

Calculate the relative atomic mass of boron using its mass spectrum, to 2 d.p.

Bar chart showing isotopic abundance with peaks at mass-to-charge ratios 10 and 11. Peak 10 is 19.9% and peak 11 is 80.1% abundant.

Answer:

  • Ar = (19.9 × 10) + (80.1 × 11)100

  • Ar = 10.801

  • Ar = 10.80 (to 2 d.p)

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Philippa Platt

Author: Philippa Platt

Expertise: Chemistry Content Creator

Philippa has worked as a GCSE and A level chemistry teacher and tutor for over thirteen years. She studied chemistry and sport science at Loughborough University graduating in 2007 having also completed her PGCE in science. Throughout her time as a teacher she was incharge of a boarding house for five years and coached many teams in a variety of sports. When not producing resources with the chemistry team, Philippa enjoys being active outside with her young family and is a very keen gardener

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.