Answer:
2.94 × 10²⁴ molecules
Explanation:
Step 1: Given data
Volume of acetone (V): 360 mL (360 cm³)
Density of acetone (ρ): 0.788 g/cm³
Step 2: Calculate the mass of acetone (m)
Density is equal to the mass of acetone divided its volume.
ρ = m/V
m = ρ × V
m = 0.788 g/cm³ × 360 cm³ = 284 g
Step 3: Calculate the moles corresponding to 284 g of acetone
The molar mass of acetone is 58.08 g/mol.
284 g × 1 mol/58.08 g = 4.89 mol
Step 4: Calculate the number of molecules in 4.89 moles of acetone
We will use Avogadro's number: there are 6.02 × 10²³ molecules of acetone in 1 mole of molecules of acetone.
4.89 mol × 6.02 × 10²³ molecules/1 mol = 2.94 × 10²⁴ molecules
