To identify the movement of biomolecules that demonstrates both osmosis and facilitated diffusion across a cell membrane, let's analyze each movement:
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Biomolecule Movement #1 (Lactose movement): This is an example of facilitated diffusion since lactose is moving through a channel protein from high to low concentration.
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Biomolecule Movement #2 (Potassium movement): This is an example of active transport, as potassium is being pumped against its concentration gradient using energy.
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Biomolecule Movement #3 (Oxygen gas movement): This is an example of simple diffusion, where a gas moves from high to low concentration without the need for any membrane protein.
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Biomolecule Movement #4 (Water movement): This is an example of osmosis, as water moves through aquaporin channels from a hypotonic environment to a hypertonic environment. It also involves facilitated diffusion since aquaporins are channel proteins.
Based on this analysis, Biomolecule Movement #4 demonstrates osmosis (water movement) and facilitated diffusion (through aquaporins).
Therefore, the correct response is:
Biomolecule Movement #4.