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Elements, Isotopes, and Atomic Mass

Jul 24, 2024

Lecture Notes on Elements, Isotopes, and Atomic Mass

Introduction to Atomic Number

  • Atomic Number: Defined by the number of protons in an atom's nucleus.
    • Example:
      • Hydrogen: 1 proton
      • Carbon: 6 protons
      • Chlorine: 17 protons
  • The atomic number determines the type of element.

Isotopes

  • Isotopes: Different versions of the same element with the same number of protons but different numbers of neutrons.
  • Example: Chlorine
    • Chlorine-35:
      • Mass Number: 35
      • Protons: 17
      • Neutrons: 18 (Mass Number - Protons)
    • Chlorine-37:
      • Mass Number: 37
      • Protons: 17
      • Neutrons: 20 (Mass Number - Protons)

Atomic Mass

  • Average Atomic Mass: Weighted average of the masses of the stable isotopes of an element found in nature.
  • Chlorine's average atomic mass calculation:
    • Chlorine-35: 75.77% abundance
    • Chlorine-37: 24.23% abundance
    • Formula:
      • (75.77% * Atomic Mass of Cl-35) + (24.23% * Atomic Mass of Cl-37)
      • Result: 35.45 unified atomic mass units (u)

Mass Defect

  • Proton and neutron masses are roughly 1 unified atomic mass unit each.
  • The combined mass of protons and neutrons in a nucleus is less than their individual masses summed up, known as Mass Defect.
  • Actual atomic mass of Chlorine-35 is slightly under 35 unified atomic mass units due to mass defect.

Important Points

  • Atomic number = Number of protons = Element type
  • Isotopes vary in neutron number, not proton number.
  • Average atomic mass is a weighted average, not a simple sum.
  • Mass defect impacts the exact atomic mass of isotopes.