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Suppose we have two flat plates sandwiching a liquid. Sometimes, a meniscus can form at the edge, which can cause the plates to attract toward each another (i.e., capillary attraction). Let the contact angle between the liquid and the top plate is 0, and let the surface tension between the liquid and air be J. AIR h LIQUID F PLATE PLATE R AIR (a) What is the force required to hold the plates together at a height h? Under what situations will the plates be attractive, and under what situations will the plates be repulsive? Assume the film is thin (h << R) and gravity is negligible. (b) Let us assume the plates are steel and the liquid is water. The contact angle is 0=70°, and the surface tension is y = 0.07 N/m. What is the equilibrium height when one applies a downward force F=70 N and the disc's radius is R=3cm?

Suppose we have two flat plates sandwiching a liquid. Sometimes, a meniscus can form at the edge, which can cause the plates to attract toward each another (i.e., capillary attraction). Let the contact angle between the liquid and the top plate is 0, and let the surface tension between the liquid and air be J. AIR h LIQUID F PLATE PLATE R AIR (a) What is the force required to hold the plates together at a height h? Under what situations will the plates be attractive, and under what situations will the plates be repulsive? Assume the film is thin (h << R) and gravity is negligible. (b) Let us assume the plates are steel and the liquid is water. The contact angle is 0=70°, and the surface tension is y = 0.07 N/m. What is the equilibrium height when one applies a downward force F=70 N and the disc's radius is R=3cm?

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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Suppose we have two flat plates sandwiching a liquid. Sometimes, a meniscus can form at the edge, which can cause the plates to attract toward each another (i.e., capillary attraction). Let the contact angle between the liquid and the top plate is 0, and let the surface tension between the liquid and air be J. AIR h LIQUID F PLATE PLATE R AIR (a) What is the force required to hold the plates together at a height h? Under what situations will the plates be attractive, and under what situations will the plates be repulsive? Assume the film is thin (h << R) and gravity is negligible. (b) Let us assume the plates are steel and the liquid is water. The contact angle is 0=70°, and the surface tension is y = 0.07 N/m. What is the equilibrium height when one applies a downward force F=70 N and the disc's radius is R=3cm?
Transcribed Image Text:Suppose we have two flat plates sandwiching a liquid. Sometimes, a meniscus can form at the edge, which can cause the plates to attract toward each another (i.e., capillary attraction). Let the contact angle between the liquid and the top plate is 0, and let the surface tension between the liquid and air be J. AIR h LIQUID F PLATE PLATE R AIR (a) What is the force required to hold the plates together at a height h? Under what situations will the plates be attractive, and under what situations will the plates be repulsive? Assume the film is thin (h << R) and gravity is negligible. (b) Let us assume the plates are steel and the liquid is water. The contact angle is 0=70°, and the surface tension is y = 0.07 N/m. What is the equilibrium height when one applies a downward force F=70 N and the disc's radius is R=3cm?
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