Mass-average velocity: \[\nu_{b} = \rho ^{-1}\ \sum C_{i}M_{i}\nu_{i}\] Cf. molar average velocity: \[\nu_{m} = c_{t}^{-1}\ \sum c_{i}\nu_{i}\] with ct = ∑ci where M i = molar mass, ct = total concentration (mol m-1),ρ = density of the solution (kg m-3).
Source:
PAC, 1981, 53, 1827. 'Nomenclature for transport phenomena in electrolytic systems' on page 1831 (https://doi.org/10.1351/pac198153101827)