“…The corresponding tie-lines were shown in Figures – . As the widespread empirical correlation equations, the Othmer–Tobias and Bancroft equations (eqs and ) were used to correlate the tie-line compositions of many ATPSs. ,,,− , In investigated systems, the tie-lines data was fitted by using these two equations where w stands for the mass fraction of materials in ATPS, the subscripts “1”, “2”, and “3” respectively represent three substances of systems (POELE20, salt, and water), the superscripts “t” and “b” represent two phases of ATPS (the top phase and bottom phase), and k 1 , k 2 , n , and r were the fitting parameters whose values were shown in Table . The square of correlation coefficient values ( R 2 ) and standard deviations (sd) were shown in Table , and it was found that these two equations were qualified for the studied systems.…”