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In a beaker a compartment a has 25% glucose solution and compartment b has 5% glu glucose solution. The membrane is permeable to the solvent but not to the solute. What transport mechanism causes water to move from a to

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Answer is: osmotic pressure.

The direction of osmotic pressure is always from the side with the lower concentration of solute to the side with the higher concentration, in this example, from solution b (5% glucose) to solution b (25% glucose).

Osmotic pressure, alongside the vapor pressure depression, freezing point depression and the boiling point elevation are the colligative properties od solution.