大学化学 >> 2017, Vol. 32 >> Issue (11): 69-74.doi: 10.3866/PKU.DXHX201707008

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论化学平衡中的独立等量关系

邵利民*()   

  • 发布日期:2017-11-17
  • 通讯作者: 邵利民 E-mail:lshao@ustc.edu.cn
  • 基金资助:
    安徽省重大教学研究项目(2015zdjy006)

Independent Equations in Chemical Equilibrium

Li-Min SHAO*()   

  • Published:2017-11-17
  • Contact: Li-Min SHAO E-mail:lshao@ustc.edu.cn
  • Supported by:
    安徽省重大教学研究项目(2015zdjy006)

摘要:

物料平衡等式(MBE)、电荷平衡等式(CBE)和质子平衡等式(PBE)是化学平衡定量解析中的常用等量关系。本文从理论上证明了CBE可以由MBE导出,因此在计算中不是一个必不可少的独立条件。由于H+来源的多样性,在涉及酸碱的化学平衡中,CBE比MBE的计算效率更高。这些结论与计算实践相一致,即在配位平衡、氧化还原平衡和沉淀平衡的计算中,MBE为主,CBE起辅助作用;在酸碱平衡计算中,CBE为主,MBE为辅。PBE也不是一个独立等量关系,而且仅适用于酸碱平衡,可以完全被效率更高的CBE代替。本研究明确了化学平衡中的独立等量关系,不仅有助于提高化学平衡定量解析的效率,而且使其理论结构更加简洁明晰。

关键词: 物料平衡, 电荷平衡, 质子平衡, 独立条件

Abstract:

Mass balance equation (MBE), charge balance equation (CBE), and proton balance equation (PBE) are commonly used in computations of chemical equilibria. This paper presented a proof that CBE can be derived from MBE, so it is not an independent equation. Although CBE is not a necessary condition, it is more efficient than MBE in chemical equilibria involving acid and base. The higher efficiency of CBE in this regard was found to be a variety of H+ sources. The conclusions are consistent with practical computations that MBE is the primary equation in computations of complexation, redox and precipitation equilibrium, whereas CBE is the primary equation in those of acid-base equilibrium. PBE is neither an independent equation, and only applicable in acid-base equilibrium; its function is completely and more efficiently implemented by CBE. So it is unnecessary to keep PBE in the textbook of quantitative analytical chemistry. This research clarifies the independent equation in chemical equilibria, which not only increases computation efficiency, but also makes the theoretical framework concise and clear.

Key words: Mass balance equation, Charge balance equation, Proton balance equation, Independent equation