1. Molecular Weight and Moles
* Glucose (C₆H₁₂O₆): The molecular weight of glucose is 180 g/mol. This means 180 grams of glucose contains one mole of glucose molecules.
* Sucrose (C₁₂H₂₂O₁₁): The molecular weight of sucrose is 342 g/mol. This means 342 grams of sucrose contains one mole of sucrose molecules.
2. Avogadro's Number
* Avogadro's number states that one mole of any substance contains 6.022 x 10²³ molecules.
Therefore, 180 g of glucose and 342 g of sucrose both contain one mole of molecules, which equates to 6.022 x 10²³ molecules each.
3. Different Atom Counts
* Glucose: One molecule of glucose has 6 carbon atoms, 12 hydrogen atoms, and 6 oxygen atoms (a total of 24 atoms).
* Sucrose: One molecule of sucrose has 12 carbon atoms, 22 hydrogen atoms, and 11 oxygen atoms (a total of 45 atoms).
Conclusion
While both samples have the same number of molecules, the individual molecules themselves contain different numbers of atoms. This is because glucose and sucrose have different chemical formulas and therefore different molecular compositions.