The kinetics analysis aimed at specifing the attributes of an optimal chain-transfer solvent for coal liquefaction was extended to include the reality of the distributions of functional groups and bonds in coal. In particular, the possibility that the desirable enhancement predicted for the liquefaction rate was an artifact of the two-lump coal-solvent model, with the coal being characterized as a single pseudo species, was tested. Thus, Gaussian-distributed coal and solvent bond strengths were considered to assess the importance of the off-optimal interactions that could be anticipated in a multicomponent mixture. The results show that significant enhancement can be maintained in the mixture. Indeed, in several instances, the distribution of coal bond strengths improved the obtained enhancement.