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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?

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?

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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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?
Transcribed Image Text: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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