采用Newton迭代法,给出了两种计算二组分表面活性剂理想混合体系表面张力的显函数简捷表达式,并通过膦氧化物同系物,季铵盐混合体系,以及全氟辛酸铵和全氟壬酸铵混合系列表面张力的实验值和数值解对其精确性进行了验证.结果表明,两种迭代法都有很快的收敛速度,表达式的相对误差都在1%之内.
Two kinds of equations of the surface tension vs the concentration for ideal binary mixtures of surfactants were acquired with Newton iterative method. The accuracy could be verified by comparison among the values obtained respectively from the iterative, the numerical and observable approaches for surface tension of the ideal binary mixed homology systems C12H25PO (CH3)3/C33H21PO (CH3)2, C12H25(CH3)3NBr/C16H33(CH3)3NBr in aqueous solutions (25 ℃), C8F15O2NH4/C9F17O2NH4 in 0.1 mol· L^-1 ammonium chloride solution (25 ℃). The results indicated that the astringency velocity of the two kinds of iterative methods was very fast and the relative error of expression was below 1%.