Consider the problem of how plants might lift water from ground level to their leaves. Assume that there us a semipermeable membrane at the roots, with pure water on the outside, and an ideal solution inside a small cylindrical capillary inside the plant. The solute mole fraction inside the capillary is x = 0.001. The radius of the capillary is 0.1 mm. Assuming the density of the solution = 1 g/mL, what is the height of the solution at 298 K? Can osmotic pressure account for raising this water?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Consider the problem of how plants might lift water from ground level to their leaves.
Assume that there us a semipermeable membrane at the roots, with pure water on
the outside, and an ideal solution inside a small cylindrical capillary inside the plant.
The solute mole fraction inside the capillary is x = 0.001. The radius of the capillary
is 0.1 mm. Assuming the density of the solution = 1 g/mL, what is the height of the
solution at 298 K? Can osmotic pressure account for raising this water? 

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