1. Calculate the Molar Mass:

* Water (H₂O):

* H: 1.01 g/mol x 2 = 2.02 g/mol

* O: 16.00 g/mol

* Total: 2.02 + 16.00 = 18.02 g/mol

* Sugar (C₁₂H₂₂O₁₁):

* C: 12.01 g/mol x 12 = 144.12 g/mol

* H: 1.01 g/mol x 22 = 22.22 g/mol

* O: 16.00 g/mol x 11 = 176.00 g/mol

* Total: 144.12 + 22.22 + 176.00 = 342.34 g/mol

2. Calculate the Number of Moles:

* Water: 9 g / 18.02 g/mol = 0.5 mol

* Sugar: 9 g / 342.34 g/mol = 0.026 mol (approximately)

3. Apply Avogadro's Number:

* Avogadro's Number states that there are 6.022 x 10²³ molecules in one mole of any substance.

* Water: 0.5 mol x 6.022 x 10²³ molecules/mol = 3.011 x 10²³ molecules

* Sugar: 0.026 mol x 6.022 x 10²³ molecules/mol = 1.57 x 10²² molecules (approximately)

Conclusion:

9 g of water has more molecules than 9 g of sugar.