On Molecular Sound Velocity of Liquids. II : Dependence of the Thermal Expansion Coefficient and the Temperature Coefficient of Compressibility of Liquids on the Boiling Point
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概要
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The coefficient of thermal expansion α and the temperature coefficient of isothermal compressibility (1/β_T)(∂β_T/∂T)_p of liquids calculated on the basis of the Lennard-Jones and Devonshire's equation of state as improved by Wentorf. Buehler, Hirschfelder and Curtiss have been shown to be inversely proportional to the boiling point of the liquids, if we consider the liquids at absolute temperatures T=constant×T_b, where Tb means the boiling points. At temperatures T=0.9 T_b, we have theoretically α=0.140/T_b and (1/β_T)(∂β_T/∂T)_p=0.865/T_b. If we assume the same temperature dependence for the adiabatic compressibility β_s as for β_T, we have for the temperature dependence of the sound velocity in liquids (1/V)(∂V/∂T)_p=-0.36/T_b. These lineal dependency of the coefficient of thermal expansion, the temperature coefficient of the adiabatic compressibility, and the temperature coefficient of the sound velocity on the reciprocal of the boiling point have been investigated in many organie liquids, some liquified gases and some molten metals employing existing ultrasonic velocity data and proved to be true in rough approximation, though the measurements do not correspond to temperatures satisfying T=const.×T_b. The experimental values of the proportionality factors, however, proved to be about three times larger than the calculated ones, i.e., α=0.41/T_b, (1/β_s)(∂β_s/∂T)_p=2.8/T_b and (1/V)(∂V/∂T)_p=-1.2/T_b.
- 社団法人日本物理学会の論文
- 1954-02-25
著者
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Kishimoto Tadashi
Kobayashi Institute Of Physical Research
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Nomoto Otohiko
Kobayashi Institute Of Physical Research
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