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What is the relationship between moles and grams?

The relationship between moles and grams is based on the molar mass of a substance.

  • 1 mole of any substance contains Avogadro’s number of particles (6.022 × 10²³ atoms, molecules, or ions).
  • The mass of 1 mole of a substance is equal to its molar mass in grams.

Formula:

Mass (grams)=Number of moles×Molar mass (g/mol)

Examples:

  1. Water (H₂O)
    • Molar mass = 18 g/mol
    • 1 mole of H₂O = 18 g
    • So, 2 moles of H₂O = 2 × 18 = 36 g
  2. Carbon dioxide (CO₂)
    • Molar mass = 44 g/mol
    • 1 mole CO₂ = 44 g
    • 0.5 moles CO₂ = 0.5 × 44 = 22 g

Key idea:

  • Moles tell you how many particles you have.
  • Grams tell you how much mass that number of particles represents.

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