Based on the fundamental Frenkel model and phonon theory of liquid thermodynamics a model relating the structural and dynamical properties of the IL-solutions at T= 400 K introduced. The experimental data indicate that ILs of type 1-alkyl-3-methyl-imidazolium exhibit an anomalous temperature dependence of the solubility of nonpolar compounds. Analysis of the data allowed to establish: The salvation effect and diffusion in systems IL (dmim+/Cl-) - non-polar solute molecules has qualitatively similar to the behavior of the hydrophobic hydration of small nonpolar particles in liquids like water. Based on the data obtained from MSD and VAF the different diffusion mechanisms of nonpolar solute molecules in IL ware determined. It is shown that the structural changes in the IL systems are correlated by the changes in the diffusion models due to the diffusion mechanism exchange between free swimming solute molecules and IL clusters. To confirm the theoretical predictions, a qualitative comparison of the model with the existing experimental data on temperature influence on the physics properties of nonpolar solute is performed.