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Prob. 1: Laplace Law: thermodynamic properties of the interface between two phases are described by a state function called the surface tension σ. It is defined in terms of the work required to increase the surface area by an amount dA through dW = odA. By considering the work done against surface tension in an infinitesimal change in radius, show that the pressure inside a spherical drop of water of radius R is larger than outside pressure by 20/R. What is the air pressure inside a soap bubble of radius R?

Prob. 1: Laplace Law: thermodynamic properties of the interface between two phases are described by a state function called the surface tension σ. It is defined in terms of the work required to increase the surface area by an amount dA through dW = odA. By considering the work done against surface tension in an infinitesimal change in radius, show that the pressure inside a spherical drop of water of radius R is larger than outside pressure by 20/R. What is the air pressure inside a soap bubble of radius R?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Prob. 1: Laplace Law: thermodynamic properties of the interface between two phases are described by a state function called the surface tension σ. It is defined in terms of the work required to increase the surface area by an amount dA through dW = odA. By considering the work done against surface tension in an infinitesimal change in radius, show that the pressure inside a spherical drop of water of radius R is larger than outside pressure by 20/R. What is the air pressure inside a soap bubble of radius R?
Transcribed Image Text:Prob. 1: Laplace Law: thermodynamic properties of the interface between two phases are described by a state function called the surface tension σ. It is defined in terms of the work required to increase the surface area by an amount dA through dW = odA. By considering the work done against surface tension in an infinitesimal change in radius, show that the pressure inside a spherical drop of water of radius R is larger than outside pressure by 20/R. What is the air pressure inside a soap bubble of radius R?
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