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On the theory of liquids.—II

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Summary

The theory outlined in Part 1 (Ind. J. Physics, under publication) is extended, and formulæ are deduced relatingμ, the attractive force coefficient, to the parachor, and giving the force between two molecules at the distance of closest approach. The formulæ forγ and L i are modified to include both attractive and repulsive forces, and values of the force constants calculated from the equations of state of certain gases by the Lennard-Jones method are inserted in these formulæ. The calculated results obtained are in good agreement with the theoretical values.

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Abbreviations

A i :

Internal work of evaporation. Work done against van der Waals forces in evaporating isothermally 1 g.-mol. of a liquid to the state of infinitely dilute vapour

C pl :

Molecular heat of the liquid at constant pressure

C vl :

Molecular heat of the liquid at constant volume

C vg :

Molecular heat of the liquid vapour at constant infinite volume.

D:

Density of the liquid

k :

Boltzmann’s constant

L i :

Internal latent heat of vapourisation

m :

Index of the power of the inverse distance, expressing the variation of the attractive force between two molecules

n :

Index for the repulsive force

N:

Number of molecules in 1 g.-mol

P:

Parachor constant

p :

External pressure

R:

Gas constant

r :

Distance between the centres of two molecules

T:

Absolute temperature

V:

Volume of 1 g.-mol. of the liquid in the normal state at T

V m.p. :

Volume of 1 g.-mol. of the liquid in the normal state at the melting point

a :

Coefficient of thermal expansion of a liquid

γ :

Surface tension

σ :

Apparent diameter of a molecule ; average distance of closest approach of two molecular centres

υ o :

Number of molecules in 1 c.c. under normal conditions

μ :

Attractive force coefficient

λ :

Repulsive force coefficient

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Authors and Affiliations

  1. Chemical Department, Royal Institute of Science, Bombay

    T. S. Wheeler

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  1. T. S. Wheeler
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Wheeler, T.S. On the theory of liquids.—II. Proc. Indian Acad. Sci. (Math. Sci.) 1, 105–114 (1934). https://doi.org/10.1007/BF03035695

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  • DOI: https://doi.org/10.1007/BF03035695

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