Increasing the ·OH radical concentration synergistically with plasma electrolysis and ultrasound in aqueous DMSO solution

In recent years, significant increases in waste processing and material engineering have been seen by using advanced oxidation processes. The treatment results and energy yields of these processes are largely determined by the generation and retention of reactive oxygen species (ROS). However, increasing the amount of ROS remains a key challenge because of the unavailability of performance- and energy-efficient techniques. In this study, plasma electrolysis, ultrasound, and plasma electrolysis combined with ultrasound were used to treat dimethyl sulfoxide (DMSO) solutions, and the results showed that the two methods can synergistically convert filament discharge into spark discharge, and the conversion of the discharge mode can significantly increase the concentration of OH radicals and effectively improve the efficiency of DMSO degradation. We verified the rationality of the results by analyzing the mass transfer path of ROS based on the reaction coefficients and found that the ·OH radicals in aqueous solution were mainly derived from the decomposition of hydrogen peroxide. These findings indicated that the synergistic action of plasma electrolysis and ultrasound can enhance the production of chemically reactive species, and provide new insights and guiding principles for the future translation of this combined strategy into real-life applications. Our results demonstrated that the synergistic strategy of ultrasound and plasma electrolysis is feasible in the switching mode and increasing the ROS, and may open new routes for materials engineering and pollutant degradation.     

在中学里常见的不定方程的整数解问题

对于方程或方程组,当未知数的个数,多于方程的个数时,一般来说,方程(组)的解数不确定,有无穷组解。我们把这种方程或方程组,叫做不定方程或不定方程组。本文里,将讨论几种中学里常见的特殊不定方程为整数解的求法。 中学里常见的不定方程,是二元一次不定     

有理数平方的分部捷乘法

有理数平方的计算,在中学数学的学习和生产实践中,都经常用到。关于这个问题,现行初中《数学》课本第二册里,在讲到“两数和的平方公式”时,介绍了个别特殊数的平方幂的简便算法,但这些方法的局限性很大,应用不广。本文仍用这个公式作为理论基础,介绍一个普遍适用的“分段捷乘法”。先看两位数的情况。因为两位数能表示为10a+b的形式,按完全平方公式有: (10a+b)~2=(10a)~2+2·10ab+b~2=(10a+2b)10a+b~2 (Ⅰ)把恒等式(Ⅰ)写为竖式有:按右边这个用逗号代替乘式与波乘式间的加号后