Graham’s law of diffusion: Quantum analogy and non-ideality

Journal of Chemical Sciences

Nabakumar Bera¹  Kamal Bhattacharyya3²  Chandrachur Das³ 

[1] Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032$$;Department of Chemistry, University of Calcutta, 92 APC Road, Kolkata 700 009$$;Department of Chemistry, B.C. College, Asansol 713 304$$

关键词: Graham’s law;    nonideality;    confined quantum system;    statistical mechanics;    quantum thermodynamics.;   

DOI  :  

来源: Indian Academy of Sciences

【 摘 要 】

We focus attention on two equivalent forms of Graham’s law of diffusion that is valid for an ideal gas mixture. This equivalence is shown to be lost by the empirical equations of state in presence of an attractive nonideality. The modified forms are noted. We then construct a simple quantum mechanical model to simulate these results and obtain a one-to-one correspondence. We see how these equations of interest may be extended to 𝐷-dimensions. By employing the quantum model, we next observe the equivalence of the results found above with those obtained via statistical mechanics. As an added advantage, we demonstrate that the virial theorem for confined quantum stationary states retains its validity in the statistical domain too, though here the averaging scheme is correspondingly different.

【 授权许可】

Unknown