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Understanding Relative Formula Mass Calculations

May 20, 2025

Relative Formula Mass and Calculations

Key Concepts

  • Mass Number: Found in the top left corner of an element's nuclear symbol; it's the sum of protons and neutrons.
  • Relative Atomic Mass (Ar): The average mass of all the isotopes of an element, denoted as 'Ar'.
    • Example: Chlorine has isotopes with mass numbers 35 and 37, but an Ar of 35.5 due to the average considering isotope abundance.
  • Relative Formula Mass (Mr): The sum of the relative atomic masses of all atoms in a compound's molecular formula, denoted as 'Mr'.

Calculating Relative Formula Mass

  • Magnesium Chloride (MgCl2):

    • Magnesium Ar: 24
    • Chlorine Ar: 35.5
    • Calculation: 24 + (35.5 * 2) = 95
  • Sulfuric Acid (H2SO4):

    • Hydrogen Ar: 1
    • Sulfur Ar: 32
    • Oxygen Ar: 16
    • Calculation: (2 * 1) + (1 * 32) + (4 * 16) = 98

Calculating Percentage Mass of an Element in a Compound

  • Formula:

    • Percentage Mass = (Ar of element * number of atoms of element / Mr of compound) * 100
  • Example: Percentage Mass of Sulfur in Sulfuric Acid

    • Ar of Sulfur: 32
    • Mr of H2SO4: 98
    • Calculation: (32 * 1 / 98) * 100 = 32.7%

Percentage Mass Calculation Example in Calcium Hydroxide

  • Calcium Hydroxide (Ca(OH)2):
    • Calcium Ar: 40
    • Oxygen Ar: 16
    • Hydrogen Ar: 1
    • For Oxygen: (16 * 2)
    • Mr Calculation: 40 + (2 * 16) + (2 * 1) = 74
    • Percentage Mass of Oxygen: (32 / 74) * 100 = 43.2%

Conclusion

  • Understanding how to find the relative formula mass and calculating percentage mass of an element in a compound are essential skills in chemistry. Use the periodic table to find Ar values and apply them to the formulas provided.