双语化学辞典Chem Lexicon
高中Senior high 化学热力学 Chemical thermodynamics

盖斯定律Hess's law

\[\Delta_rH = \sum_i \Delta H_i\ (\text{各步之和,与路径无关})\]\[\Delta_rH = \sum_i \Delta H_i\ (\text{sum of steps , path-independent})\]

含义Meaning

化学反应的焓变只取决于始态和终态,与反应经过的途径无关(盖斯,1840)。因此可由已知反应的焓变加减求出难以直接测定的反应焓。

A reaction’s enthalpy change depends only on initial and final states, not on the route (Hess, 1840), so unmeasurable reaction enthalpies can be found by combining known ones.

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(\Delta H_i\)各步反应焓变enthalpy of each stepkJ·mol⁻¹

推导Derivation

  1. 焓是状态函数,其变化只由始末态决定。

    Enthalpy is a state function.

  2. 热化学方程式可像代数式一样相加减(ΔH 同步加减),乘以系数时 ΔH 同倍乘,反写时 ΔH 变号。

    Thermochemical equations combine algebraically, with ΔH scaled and signed accordingly.

适用条件与局限Assumptions & limitations

  • 各步须在相同条件(温度、压强、物态)下比较。

    Steps must refer to the same conditions and phases.

例题Worked example

C(石墨) + ½O₂ → CO 无法直接测:由 C + O₂ → CO₂(−393.5)减去 CO + ½O₂ → CO₂(−283.0)得 −110.5 kJ/mol。

C + ½O₂ → CO: −393.5 − (−283.0) = −110.5 kJ/mol.