One of the most challenging problems in environmental remediation is isolated blobs of contaminated fluid that become trapped in soils by capillary forces (i.e., surface tension). The pore space can be analyzed by analogy to a thin-diameter glass tube. Under the conditions given, what is the maximum length of water, I, that can be retained in the vertical glass tube shown? [mm] • contact angle 0 = 0° • surface tension - 72 dyn/cm = 0.072 N/m • tube diameter D = 2.0 mm • neglect the small volume of water above the meniscus • the weight of water completely removes the curvature in the lower air-water interface
One of the most challenging problems in environmental remediation is isolated blobs of contaminated fluid that become trapped in soils by capillary forces (i.e., surface tension). The pore space can be analyzed by analogy to a thin-diameter glass tube. Under the conditions given, what is the maximum length of water, I, that can be retained in the vertical glass tube shown? [mm] • contact angle 0 = 0° • surface tension - 72 dyn/cm = 0.072 N/m • tube diameter D = 2.0 mm • neglect the small volume of water above the meniscus • the weight of water completely removes the curvature in the lower air-water interface
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![One of the most challenging problems in environmental remediation is isolated blobs of
contaminated fluid that become trapped in soils by capillary forces (i.e., surface
tension). The pore space can be analyzed by analogy to a thin-diameter glass tube.
Under the conditions given, what is the maximum length of water, I, that can be
retained in the vertical glass tube shown? [mm]
• contact angle 0 = 0⁰
• surface tension o= 72 dyn/cm = 0.072 N/m
• tube diameter D = 2.0 mm
•
●
neglect the small volume of water above the meniscus
the weight of water completely removes the curvature in the lower air-water interface](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc837c159-281c-429a-9ec5-8a70fc5b4137%2Fb8e1cb17-7a54-455a-bec1-6efa19a65006%2Febpqhwp_processed.png&w=3840&q=75)
Transcribed Image Text:One of the most challenging problems in environmental remediation is isolated blobs of
contaminated fluid that become trapped in soils by capillary forces (i.e., surface
tension). The pore space can be analyzed by analogy to a thin-diameter glass tube.
Under the conditions given, what is the maximum length of water, I, that can be
retained in the vertical glass tube shown? [mm]
• contact angle 0 = 0⁰
• surface tension o= 72 dyn/cm = 0.072 N/m
• tube diameter D = 2.0 mm
•
●
neglect the small volume of water above the meniscus
the weight of water completely removes the curvature in the lower air-water interface
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1: Capillary Rise
Capillary rise is the movement of a fluid in a thin tube above the general level of the fluid, when the tube is held vertically in the fluid.
The expression for capillary rise (h) can be written as:
: surface tension of the fluid
: contact angle between tube and the fluid surface
: specific weight of the fluid
d: diameter of the tube
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