低浓度钛离子水解的多项式描述

Polynomial description of low concentration titanium ion hydrolysis

摘要:

富钛材料是氯化法制备二氧化钛的主要原料， 利用低浓度钛离子溶液制备高纯富钛材料是一种重要的方法．获得低浓度的钛离子溶液([TiO2+]<1.0 mol/L)不需要真空浓缩步骤，水解率可超过98%，足以制备高纯富钛材料．对硫酸钛溶液的水解率随时间的变化进行了研究，为了得到任意时刻的水解率，对所得到的时间?水解率曲线进行最小二乘法拟合，得到实验曲线的解析多项式， 通过对多项式的推导，得到水解率与钛离子浓度、水解时间的关系． 结果表明，在钛离子水解过程中，水解速率随钛离子浓度、水解时间的增加呈先增大后减小的趋势，并且水解速率存在一个峰值．

Abstract:

Titanium-rich material is the main raw material for the preparation of titanium dioxide by the chloride method. The preparation of high-purity titanium-rich materials from low-concentration titanium ion solutions is an important method. The obtaining of low-concentration titanium ion solution （［TiO2+］<1.0 mol/L） does not require a vacuum concentration step， and the hydrolysis rate can exceed 98%， which is sufficient to prepare of high-purity titanium-rich materials. This article first experimentally studied the change of the hydrolysis rate of titanium sulfate solution with time. In order to obtain the hydrolysis rate at any time， the curve was fitted with the least square method to obtain the analytical polynomial of the experimental curve. After that， the relationship between the hydrolysis rate and the concentration of titanium ions， hydrolysis time and hydrolysis rate is obtained through the derivation of the polynomial. The curve shows that during the hydrolysis of titanium ions， the hydrolysis rate first increases and then decreases with the concentration of titanium ions， hydrolysis time and hydrolysis rate， and there is a peak. This research is of great significance for digital control of thehydrolysis process.