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A brand of soda has one of the highest quantities of sugar among popular soda drink packing 52 grams into each 12 oz can how many molecules of sugar are in one can of this soda

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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

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