Answer:
9.0 × 10²² molecules of sugar (sucrose)
Step-by-step explanation:
Step 1: Given and required data
- Mass of sugar in each can of soda (m): 52 g
- Molecular formula of sugar (sucrose): C₁₂H₂₂O₁₁
- Molar mass of sucrose (M): 342.3 g/mol
Step 2: Calculate the moles of sugar (n) in each can
We will use the following expression.
n = m/M = 52 g / (342.3 g/mol) = 0.15 mol
Step 3: Calculate the molecules corresponding to 0.15 moles of sugar
We will use Avogadro's number: there are 6.02 × 10²³ molecules in 1 mole of molecules.
0.15 mol × 6.02 × 10²³ molecules/1 mol = 9.0 × 10²² molecules