Received date: 2020-05-28
Revised date: 2020-08-03
Online published: 2021-01-11
gives different answer,and even the same literature in different pages gives contrary answer. In thermody
namics,they are approximately treated as constants due to matching the thermodynamic coordinates of the critical
point and van der Waals equation of state can be expressed as the corresponding state law. Once the parameters a
and b depend on the temperature,the corresponding state law does not hold true,and other peculiarities of the van
der Waals equation of state is lost accordingly. In statistical mechanics,we usually obtain a Virial expansion of the
equation of state; once the van der Waals equation is used to interpolate to this expansion,they are temperaturedependent
except some special cases. Therefore,the different statements on temperature dependence of the van der
Waals a and b parameter in thermodynamics and statistical mechanics are in fact originates from implicit assumption
of the same application domain of the van der Waals equation of state in two different disciplines.
ZHANG Zi-yi, LI Xin-yu, WANG Xin, LIU Quan-hui . On temperature dependence of the van der Waals a and b parameter[J]. College Physics, 2021 , 40(01) : 66 -69 . DOI: 10.16854 /j.cnki.1000-0712.200208
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