“…Utilizing the Newton–Laplace equation and solution compressibility, κ s was obtained as κ s = c –2 ρ –1 . The comparison of density and speed of sound data of Th.HCl in water with the literature data are shown in Supporting Information, Figures S1 and S2. ,, The ρ and c data was used for calculating the apparent molar volumes and apparent isentropic compressibility for various binary/ternary solutions as V 2 , ϕ = [ M / ρ ] − [ false( ρ − ρ o false) / false( m ρ ρ o false) ] K s , 2 , ϕ = ( κ normals M / ρ ) − [ false( κ s ° ρ − κ s ρ o false) / false( m ρ ρ o false) ] here V 2,ϕ , M , m , ρ, and ρ o represents apparent molar volume, solute molar mass, solute molality in solution (binary or ternary), density of solution, and density of solvent (Th.HCl + H 2 O + PILs or PILs + H 2 O), respectively. In eq , κ s , κ s °, and K s,2,ϕ represents isentropic compressibility of the solutions, isentropic compressibility of pure solvent, and apparent molar isentropic compressibility of binary/ternary solutions, respectively.…”