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本文将自由体积理论应用于声传播问题.对于可看成是刚性球组成的系统,首先由Tonks状态方程推导出了液体状态方程;PV(?)=3NkT,其中:有效体积V(?)是实际体积与分子最可密体积之差.指出了摩尔有效体积可近似地表示为,当温度从0°K变化到所考虑的温度时物质摩尔体积的增加.因此,有效体积的图象概念有了一个真正的物理基础.根据Tonks方程,导出了声速表达式、声速温度系数和压力系数,把由此计算的理论值与实验结果进行了比较.给出了体积膨胀系数和自由体积模型下的比热差.对声吸收的温度系数和压力系数也作了简单讨论.
In this paper, the free-volume theory is applied to the problem of acoustic propagation. For a system that can be considered as a rigid ball composition, the equation of state of the liquid is first derived from the Tonks equation of state; PV (?) = 3NkT, The difference between the actual volume and the molecule’s most compact volume indicates that the effective molar volume can be approximated as the increase in the molar volume of a substance as the temperature changes from 0 ° K to the considered temperature.Therefore, A real physical basis is derived.According to Tonks equation, the velocity of sound velocity, temperature coefficient of velocity of sound velocity and pressure coefficient are deduced, and the calculated theoretical value is compared with the experimental results.Experimental results of volumetric expansion coefficient and free volume model Specific heat difference. The acoustic absorption of the temperature coefficient and pressure coefficient also made a brief discussion.