van’t Hoff equation relates equilibrium constant K of a chemical reaction to temperature T. Though the plot ( $$\ln K$$ vs. 1/T) is linear, it nonlinear for certain reactions. In this work we attribute such observations virial coefficients.

A short self-contained derivation is given for the second virial coefficient B2(T) of a gas consisting of identical interacting asymmetric rigid rotors. The resulting expression is correct through variant Planck's over h2. First, the canonical partition function is derived by means of an variant Planck's over h expansion of exp[-H/(k(B)T)] due to Friedmann [Adv. Chem. Phys. 4, 225 (1962)]. The ...

Second and t hird vi rial coeffi cie nts for para hydroge n ha ve been derived fr om closelv spaced PVT data from 24 t o 100 OK . They are in good agreemen t at J 00 oK wi t h publis hed data for normal hydrogen . An aly t ical represe nta t io ns of t he co mbined data fr om. a bout 20 t o 423 OK are presented whi ch may be usefu l in co mpu tat io n of t hermody na mi c fun ctio ns of the gas...

We study a system of nonabelian anyons in the lowest Landau level of a strong magnetic field. Using diagrammatic techniques, we prove that the virial coefficients do not depend on the statistics parameter. This is true for all representations of all nonabelian groups for the statistics of the particles and relies solely on the fact that the effective statistical interaction is a traceless opera...

We use the Mayer sampling method, with both direct and overlap sampling, to calculate and compare classical virial coefficients up to B6 for various water models (SPC, SPC/E, MSPC/E, TIP3P, and TIP4P). The precision of the computed values ranges from 0.1% for B2 to an average of 25% for B6. When expressed in a form scaled by the critical properties, the values of the coefficients for SPC water ...

We report results of calculations of the second through sixth virial coefficients for four prototype Lennard-Jones (LJ) mixtures that have been the subject of previous studies in the literature. Values are reported for temperatures ranging from T=0.6 to T=10.0, where here the temperature is given units of the LJ energy parameter of one of the components. Thermodynamic stability of the mixtures ...