双语化学辞典Chem Lexicon
初中Junior high 化学计量与基本定律 Stoichiometry & basic laws

质量守恒定律Law of conservation of mass

\[\sum m_{\text{反应物}} = \sum m_{\text{生成物}}\]\[\sum m_{\text{reactants}} = \sum m_{\text{products}}\]

含义Meaning

化学反应中,参加反应的各物质质量总和等于生成的各物质质量总和。

In a chemical reaction the total mass of the reactants that react equals the total mass of the products formed.

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(m\)质量massg, kg

推导Derivation

  1. 化学反应的本质是原子的重新组合:反应前后原子的种类和数目都不变。

    A reaction only regroups atoms: the kinds and numbers of atoms are unchanged.

  2. 每种原子的质量不变,所以各原子质量之和(即总质量)不变。

    Each atom keeps its mass, so the sum over all atoms — the total mass — is unchanged.

  3. 拉瓦锡在密闭容器中加热锡、汞等金属,称量证实了这一点(1774–1789)。

    Lavoisier confirmed it by weighing metals heated in sealed vessels (1774–1789).

适用条件与局限Assumptions & limitations

  • 只适用于化学变化;必须把气体等所有参与物质都计入(敞口容器中生成的气体逸出会使称量“减少”)。

    Count every participating substance, including gases; open vessels lose gaseous products.

  • 严格地说,反应放热时体系质量按 \(\Delta m = \Delta E/c^2\) 有极微小减少,化学反应中约 \(10^{-9}\) 量级,可忽略;核反应中不可忽略。

    Strictly, released energy lowers mass by \(\Delta m = \Delta E/c^2\) — about \(10^{-9}\) of the mass in chemistry (negligible) but significant in nuclear reactions.

例题Worked example

12 g 碳在 32 g 氧气中完全燃烧,生成 CO₂ 的质量为 12 + 32 = 44 g。

12 g of carbon burning completely in 32 g of oxygen gives 12 + 32 = 44 g of CO₂.