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?

University Physics Volume 2
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Chapter2: The Kinetic Theory Of Gases
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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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