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Consider a two - phase, vapor - liquid equilibrium. In this case, we will assume the liquid is a spherical droplet with volume V ,
Consider a twophase, vaporliquid equilibrium. In this case, we will assume the liquid is a spherical droplet with volume surface area and radius, We have an isolated system there is no gravity The vapor phase can be described as in class, but since the droplet has surface tension, there is an additional work term: for a reversible process, where is the surface tension. Thus, This is the form of the Fundamental Equation for systems where surface tension is important usually only for very small droplets Note that in this problem is the surface area of the droplet, not the Hemholtz free energy. a Given that and for a sphere, find an equation b Using the equation developed in part a find and What is different about the pressure term as compared to phase equilibria problems where surface tension is not included? Hint: Consider the following relationships at equilibrium: and and and
Consider a twophase, vaporliquid equilibrium. In this case, we will assume the liquid is
a spherical droplet with volume surface area and radius,
We have an isolated system there is no gravity
The vapor phase can be described as in class, but since the droplet has surface tension,
there is an additional work term: for a reversible process, where
is the surface tension. Thus, This is the form of
the Fundamental Equation for systems where surface tension is important usually only for
very small droplets Note that in this problem is the surface area of the droplet, not the
Hemholtz free energy.
a Given that and for a sphere, find an equation
b Using the equation developed in part a find and What
is different about the pressure term as compared to phase equilibria problems where
surface tension is not included?
Hint: Consider the following relationships at equilibrium: and and
and
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