双语化学辞典Chem Lexicon
高中Senior high 化学动力学 Chemical kinetics

化学反应速率Rate of reaction

\[v = \frac{1}{\nu_\mathrm B}\frac{d[\mathrm B]}{dt},\qquad \text{平均速率 } \bar v = \frac{\Delta c}{\Delta t}\]\[v = \frac{1}{\nu_\mathrm B}\frac{d[\mathrm B]}{dt},\qquad \text{mean rate} \bar v = \frac{\Delta c}{\Delta t}\]

含义Meaning

用任一物质浓度随时间的变化率除以其计量数(反应物为负)得到的速率,与选哪种物质无关。

The rate of change of any species’ concentration divided by its stoichiometric number (negative for reactants) — the same whichever species is used.

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(v\)反应速率rate of reactionmol·L⁻¹·s⁻¹
\(\nu_\mathrm B\)计量数(反应物取负)stoichiometric number (negative for reactants)1

推导Derivation

  1. 对 aA + bB → cC + dD,各物质变化率之比等于计量数之比。

    For aA + bB → cC + dD the rates of change are in the ratio of coefficients.

  2. 除以各自计量数后得到唯一的反应速率:\(v = -\frac1a\frac{d[\mathrm A]}{dt} = \frac1c\frac{d[\mathrm C]}{dt}\)。

    Dividing by coefficients gives a single rate.

  3. 中学常用某段时间内的平均速率;瞬时速率是浓度–时间曲线的切线斜率。

    Average rates over an interval; the instantaneous rate is the tangent slope.

适用条件与局限Assumptions & limitations

  • 定义要求恒容(体积变化时用反应进度 \(\dot\xi/V\));有中间物积累时各物质速率不再同步。

    Assumes constant volume; intermediates break the simple ratios.

例题Worked example

N₂ + 3H₂ → 2NH₃:若 d[NH₃]/dt = 0.2 mol/(L·s),则 v = 0.1,d[H₂]/dt = −0.3 mol/(L·s)。

N₂ + 3H₂ → 2NH₃: d[NH₃]/dt = 0.2 gives v = 0.1 and d[H₂]/dt = −0.3.