On the relationships between transport and thermodynamic properties of organic liquids at ambient conditions

The viscosities η and their temperature dependencies dln η/dt of some 300 liquids, the thermal conductivities λ of some 270 liquids, and the self-diffusion coefficients D of some 70 liquids, all 298.15 K and 0.1 MPa, have been obtained from the literature to form a database. This has been subjected to a stepwise linear regression program with respect to the thermodynamic properties of these liquids, yielding expressions that describe adequately the transport properties in terms of the thermodynamic ones. These are: log(η/mPa s) = -3.44(V - V(X))/V + 0.0813Δ(V)H/RTln10 + 0.455n(OH), dlnη/d(T/K) = -1.94 x10^-3Δ(V)H/RTln10 - 0.0125n(OH), Dη = 1.297 x 10^-12 m² Pa, and λ/W m^-1 K^-1 = 0.0695(C(p)/V) (cm³ J^-1 K^-1) + 0.00205 (M/kg mol)^-1. Here, V is the molar volume, V(X) is the intrinsic molar volume, Δ(V)H is the heat of vaporization, C(p) is the molar heat capacity at 298.15 K, M is the molar mass and n(OH) is the number of hydroxyl groups per molecule of the liquid.