Solution Found!
Nutrients dissolved in water are carried to upper parts of
Chapter 2, Problem 97P(choose chapter or problem)
Problem 97P
Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of the capillary effect. Determine how high the water solution will rise in a tree in a 0.002-mm-diameter tube as a result of the capillary effect. Treat the solution as water at 20°C with a contact angle of 15°.
FIGURE P2-103
Questions & Answers
QUESTION:
Problem 97P
Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of the capillary effect. Determine how high the water solution will rise in a tree in a 0.002-mm-diameter tube as a result of the capillary effect. Treat the solution as water at 20°C with a contact angle of 15°.
FIGURE P2-103
ANSWER:
Solution
Introduction
Nutrients dissolved in water are carried to upper parts of plants by tiny tubes due to the capillary rise. Capillary rise is the ability of a liquid to flow in narrow space without the assistance of, or even opposition to external forces like gravity.
Step 1
Given ,The temperature of the water solution , T=200 C
Diameter of the capillary tube, D =0.002 mm and the diameter of the tube is constant.
The contact angle is 150
We know that ,
The surface tension of the water at 200 C, σs =0.073 N/m
The density of the water solution ρ =1000 kg/m3