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Calculating the Number of Moles in Glucose

Jul 24, 2024

Calculating the Number of Moles in a Glucose Sample

Key Concepts

  • Mole: Similar to a dozen (12 items), but a mole corresponds to Avogadro's number (6.022 × 10^23 items).
  • Molar mass: The mass of one mole of a substance, measured in grams per mole (g/mol).
  • Glucose: Its molecular formula is C6H12O6.

Step-by-step Calculation

  1. Determine Molar Mass of Glucose

    • Find the molar mass of each constituent element using the periodic table:
      • Carbon (C): 12.01 g/mol
      • Hydrogen (H): 1.008 g/mol
      • Oxygen (O): 16.00 g/mol
    • Calculate the molar mass of glucose by summing up the molar masses of constituent elements, multiplied by their respective counts in one molecule of glucose:
      • Glucose (C6H12O6):
        • Carbon: 6 × 12.01 g/mol
        • Hydrogen: 12 × 1.008 g/mol
        • Oxygen: 6 × 16.00 g/mol
      • Total molar mass:
        • 6 × 12.01 + 12 × 1.008 + 6 × 16.00
        • Equal to 180.16 g/mol

  2. Convert Kilograms to Grams

    • Given sample: 1.52 kg of glucose
    • Convert to grams:
      • 1.52 kg × 1000 g/kg = 1520 g

  3. Calculate Number of Moles

    • Use the molar mass to convert grams to moles:
      • Moles of glucose = mass of sample / molar mass
      • 1520 g / 180.16 g/mol ≈ 8.44 moles
    • Significant Figures: Based on the original data (3 significant figures), result is 8.44 moles

Final Answer

  • Number of moles in 1.52 kg of glucose: 8.44 moles

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