双语化学辞典Chem Lexicon
本科Undergraduate 溶液与依数性 Solutions & colligative properties

亨利定律Henry's law

\[p_\mathrm{B} = k_{x}\, x_\mathrm{B} \quad\text{或}\quad c_\mathrm{B} = k_\mathrm{H}\, p_\mathrm{B}\]\[p_\mathrm{B} = k_{x}\, x_\mathrm{B} \quad\text{or}\quad c_\mathrm{B} = k_\mathrm{H}\, p_\mathrm{B}\]

含义Meaning

一定温度下,稀溶液中挥发性溶质的平衡分压与其浓度成正比;常用于气体在液体中的溶解度。

At fixed temperature the vapour pressure of a dilute volatile solute is proportional to its concentration — the law of gas solubility.

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(k_x\)亨利常数(摩尔分数形式)Henry constant (mole-fraction form)Pa
\(k_\mathrm{H}\)亨利溶解度常数Henry solubility constantmol·L⁻¹·Pa⁻¹

推导Derivation

  1. 极稀时每个溶质分子周围全是溶剂,其逸出倾向与浓度成正比,但比例常数不是 \(p_\mathrm{B}^*\),而由溶质–溶剂作用决定。

    At infinite dilution each solute molecule is surrounded by solvent, so its escaping tendency is proportional to concentration — with a constant set by solute–solvent interactions, not \(p_\mathrm{B}^*\).

  2. 由吉布斯–杜亥姆方程可证:溶剂服从拉乌尔定律的浓度区间内,溶质服从亨利定律。

    Gibbs–Duhem shows that where the solvent obeys Raoult’s law the solute obeys Henry’s law.

  3. 温度升高,气体溶解度一般降低(溶解放热,范特霍夫关系)。

    Gas solubility usually falls with temperature (exothermic dissolution).

适用条件与局限Assumptions & limitations

  • 只适用于稀溶液,且溶质在气、液两相中的分子形态相同;与溶剂反应的气体(NH₃、CO₂ 的水合、HCl)偏离很大。

    Dilute solutions only, same molecular form in both phases; gases that react with the solvent (NH₃, HCl) deviate strongly.

  • 亨利常数有多种定义和单位,引用时必须注明。

    Henry constants come in many conventions — always state which.

例题Worked example

潜水减压病:高压下 N₂ 溶入血液更多,快速上浮时析出气泡。

Decompression sickness: more N₂ dissolves in blood at depth and bubbles out on rapid ascent.