Georgia State University (GSU) CHEM 1211K Principles of Chemistry I Test 1 Practice Test

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Determine the volume of hexane that contains 5.33 × 10^22 molecules, given density 0.6548 g/mL and molar mass 86.17 g/mol.

1.16 mL

11.6 mL

This question tests using the mole concept and density to connect a count of molecules to a volume. Start by turning the given number of molecules into moles with Avogadro’s number: 5.33 × 10^22 molecules ÷ 6.022 × 10^23 molecules per mole ≈ 0.0885 mol. Next convert moles to mass using the molar mass of hexane: 0.0885 mol × 86.17 g/mol ≈ 7.63 g. Finally, use density to get volume, since density = mass/volume, so volume = mass ÷ density = 7.63 g ÷ 0.6548 g/mL ≈ 11.6 mL. The volume corresponding to that many hexane molecules is about 11.6 mL.

116 mL

0.116 mL

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