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Understanding Moles and Molecular Mass

Nov 12, 2024

Lecture Notes: Chapter 3 - Composition of Compounds and Solutions

Section 3.1: Formula Mass and the Mole Concept

Key Concepts:

  • Connecting Microscopic to Macroscopic:
    • Understanding atoms and molecules by connecting atomic mass units (AMU) to grams.
    • Use of moles to bridge the gap between microscopic and macroscopic worlds.

Atomic Mass:

  • Carbon-12 atom = 12 AMU
  • Hydrogen atom ≈ 1.008 AMU
  • Oxygen-16 atom = 16.00 AMU

The Mole:

  • Defined as a unit to count particles (like a dozen for eggs).
  • Avogadro's Number: 6.022 x 10^23 (counts atoms/molecules).
  • Molar Mass: Mass of one mole in grams (same numerical value as atomic mass in AMU).

Conversion Factors:

  1. Molar Mass (grams/mole):
    • Found on periodic table or given in problems.
  2. Avogadro's Number:
    • Used when dealing with atoms, molecules, formula units.

Calculation Examples:

  • Finding Mass of 0.89 moles of Calcium:

    • Use periodic table to find molar mass of calcium (40.08 g/mol).
    • Calculation: 0.89 moles x 40.08 g/mol = 36 grams.
  • From Atoms to Grams:

    • Zinc example using Avogadro's number and molar mass.
    • 1.65 x 10^23 atoms of Zn to grams.

Molecule and Formula Mass:

  • Molecular Mass: Sum of atomic masses in a molecule.
  • Formula Mass: Sum of atomic masses in an ionic compound formula.

Practical Problems and Examples:

  • Calcium Carbonate Example:
    • Convert grams to moles using molar mass.
  • Propylene Example (C3H6):
    • Find molar mass, convert 25g to moles.
  • Potassium Bromide (KBr):
    • Convert grams to moles using molar mass.

Practical Applications:

  • Hemoglobin in Blood:
    • Calculating number of molecules and mass.
  • Cullinan Diamond:
    • Calculations involving carats, grams, and carbon atoms.

Conclusion:

  • Grams to atoms conversions involve large numbers.
  • Avogadro's number often cumbersome, used mainly for understanding large collections of small entities like atoms.
  • Molar mass is a critical tool for conversions in chemistry.