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A Theory of Vapor Pressures of Liquids Based on van der Waals' Equation of State

Frederick T. Wall

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Abstract

An expression is derived for the vapor pressure of a liquid assuming the validity of van der Waals' equation of state. The theory involves the use of an appropriate mathematical expression for the volume of a van der Waals liquid and does not require recourse to any empirical relationships. The vapor pressure equation so obtained can be put into a reduced form, which is of a universal nature. The laws of Guldberg-Guye and of Trouton are shown to be compatible with the theory with constants of the correct order of magnitude.

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An expression is derived for the vapor pressure of a liquid assuming the validity of van der Waals' equation of state. The theory involves the use of an appropriate mathematical expression for the volume of a van der Waals liquid and does not require recourse to any empirical relationships. The vapor pressure equation so obtained can be put into a reduced form, which is of a universal nature. The laws of Guldberg-Guye and of Trouton are shown to be compatible with the theory with constants of the correct order of magnitude.

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Available abstract

An expression is derived for the vapor pressure of a liquid assuming the validity of van der Waals' equation of state. The theory involves the use of an appropriate mathematical expression for the volume of a van der Waals liquid and does not require recourse to any empirical relationships. The vapor pressure equation so obtained can be put into a reduced form, which is of a universal nature. The laws of Guldberg-Guye and of Trouton are shown to be compatible with the theory with constants of the correct order of magnitude.

Key concepts: van der Waals force, Van der Waals equation, Theorem of corresponding states, Van der Waals radius, Equation of state, Vapor pressure, Thermodynamics, Van der Waals surface

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