Reaction Kinetics and Chemical Equilibrium | 反应动力学与化学平衡

📚 Reaction Kinetics and Chemical Equilibrium | 反应动力学与化学平衡

Understanding how fast reactions occur and how reversible reactions reach a balance is central to Edexcel A-Level Chemistry. Reaction kinetics explains rate laws, orders and activation energy, while equilibrium describes why many reactions do not go to completion. This article combines key ideas, practical methods and exam-style reasoning.

理解反应进行的快慢以及可逆反应如何达到平衡,是 Edexcel A-Level 化学的核心内容。化学动力学阐明速率方程、反应级数和活化能,而化学平衡则解释了许多反应为何不能进行到底。本文将综合核心概念、实验方法和考试推理。


1. Collision Theory and Rate of Reaction | 碰撞理论与反应速率

For a reaction to occur, particles must collide with the correct orientation and with kinetic energy equal to or greater than the activation energy Ea. Increasing concentration, pressure or surface area raises collision frequency; increasing temperature increases both collision frequency and the fraction of collisions that have enough energy to react.

要发生反应,微粒必须以正确取向碰撞,并且动能必须大于或等于活化能 Eₐ。增大浓度、压强或表面积会提高碰撞频率;升高温度则同时提高碰撞频率和具有足够能量发生反应的碰撞比例。

The rate of a chemical reaction is usually expressed as the change in concentration of a reactant or product per unit time. Typical units are mol dm⁻³ s⁻¹. Fast reactions have a high rate, while slow reactions have a low rate.

化学反应速率通常表示为单位时间内反应物或产物浓度的变化。常用单位是 mol dm⁻³ s⁻¹。快速反应速率高,慢速反应速率低。


2. Maxwell-Boltzmann Distribution | 麦克斯韦-玻尔兹曼分布

The Maxwell-Boltzmann distribution shows the spread of molecular kinetic energies at a fixed temperature. Only the tail beyond Ea has enough energy to react. At higher temperature, the curve flattens and shifts right, so a much larger proportion of particles exceed Ea.

麦克斯韦-玻尔兹曼分布显示了在固定温度下分子动能的分布。只有超过 Eₐ 的尾部区域具有足够能量反应。温度升高时,曲线变平并右移,因此超过 Eₐ 的粒子比例大大增加。

Adding a catalyst lowers the activation energy by providing an alternative pathway. On a Maxwell-Boltzmann diagram, the Ea line moves to the left, so a greater fraction of particles can react even though the temperature and energy distribution remain unchanged.

加入催化剂通过提供另一条反应路径来降低活化能。在麦克斯韦-玻尔兹曼图上,Eₐ 线左移,因此即使温度和能量分布不变,能够反应的粒子比例也会更大。


3. Rate Equations and Orders | 速率方程与反应级数

For a reaction aA + bB → products, the rate equation may be written as rate = k[A]ᵐ[B]ⁿ. The powers m and n are the orders with respect to A and B, and the overall order is m + n. Orders are found experimentally, not from the stoichiometric coefficients.

对于反应 aA + bB → 产物,速率方程可写为 rate = k[A]ᵐ[B]ⁿ。幂 m 和 n 分别是物质 A 和 B 的反应级数,总级数为 m + n。反应级数由实验测定,而不是根据化学计量数直接写出。

rate = k[A]ᵐ[B]ⁿ

The rate constant k is specific to a particular reaction at a given temperature. Its units depend on the overall order of reaction, which is why exam questions often ask candidates to derive them from the rate equation.

速率常数 k 对指定反应和指定温度是特定的。它的单位取决于反应的总级数,因此考试题目常常要求考生根据速率方程推导其单位。


4. Determining Orders from Initial Rates | 由初始速率确定反应级数

The initial rates method measures the rate at the start for different starting concentrations. Compare experiments where only one concentration changes; if doubling [A] doubles the rate, the order is 1; if the rate quadruples, the order is 2; if there is no change, the order is 0.

初始速率法测量不同起始浓度下反应刚开始时的速率。比较只有一个浓度变化的实验:若 [A] 加倍使速率加倍,则为一级;若速率变为四倍,则为二级;若速率不变,则为零级。

  • Doubling [A] → rate ×2: first order
  • Doubling [A] → rate ×4: second order
  • Doubling [A] → rate ×1: zero order

Once the order with respect to each reactant is known, substitute a full set of data into the rate equation to calculate the rate constant k. Always include correct units, determined by the overall order.

一旦确定各反应物的反应级数,就将一组完整数据代入速率方程以计算速率常数 k。始终根据总级数写出正确的单位。


5. The Rate Constant and Temperature | 速率常数与温度

The rate constant k is constant only at a given temperature. Increasing temperature increases k because more particles exceed Ea. The Arrhenius equation links k to temperature and activation energy.

速率常数 k 仅在指定温度下为常数。升高温度使 k 增大,因为更多粒子超过 Eₐ。阿伦尼乌斯方程将 k 与温度和活化能联系起来。

k = Ae^(−Eₐ/RT)

In this expression, A is the pre-exponential factor, Eₐ is the activation energy, R is the gas constant and T is the absolute temperature. The exponential term dominates the temperature dependence: a small rise in T can produce a large increase in k.

在该表达式中,A 是指前因子,Eₐ 是活化能,R 是气体常数,T 是绝对温度。指数项主导了温度依赖性:T 的少量升高就能使 k 显著增大。


6. Dynamic Equilibrium | 动态平衡

In a closed system, a reversible reaction reaches dynamic equilibrium when the forward and reverse rates become equal. The concentrations of reactants and products stay constant, but both reactions continue at the molecular level.

在封闭体系中,当正反应和逆反应速率相等时,可逆反应达到动态平衡。反应物和产物的浓度保持不变,但在分子水平上两个方向的反应仍在继续。

Dynamic equilibrium can be approached from either the forward or reverse direction. The final equilibrium mixture has the same composition provided temperature and pressure are fixed, because the rates become equal at the same position.

动态平衡可以从正反应或逆反应方向接近。只要温度和压强固定,最终平衡混合物具有相同的组成,因为两个方向的速率在同一位置达到相等。


7. The Equilibrium Constant Kc | 平衡常数 Kc

For aA + bB ⇌ cC + dD, the equilibrium constant is Kc = [C]ᶜ[D]ᵈ / [A]ᵃ[B]ᵇ. Square brackets mean equilibrium concentration in mol dm⁻³. Kc is temperature-dependent; its magnitude indicates the position of equilibrium.

对于 aA + bB ⇌ cC + dD,平衡常数为 Kc = [C]ᶜ[D]ᵈ / [A]ᵃ[B]ᵇ。方括号表示以 mol dm⁻³ 为单位的平衡浓度。Kc 只随温度变化,其大小反映平衡位置。

Kc = [C]ᶜ[D]ᵈ / [A]ᵃ[B]ᵇ

A large Kc value means the equilibrium lies to the right, favouring products. A small Kc value means the equilibrium lies to the left, favouring reactants. Changing concentration or pressure does not change Kc, but changing temperature does.

Kc 值大说明平衡位置偏右,有利于产物。Kc 值小说明平衡位置偏左,有利于反应物。改变浓度或压强不会改变 Kc,但改变温度会改变 Kc。


8. Le Chatelier’s Principle | 勒夏特列原理

Le Chatelier’s principle states that if a system at equilibrium is disturbed, the equilibrium shifts to oppose the change. Increasing concentration of a reactant shifts the position to the right; increasing pressure favours the side with fewer gas moles; increasing temperature favours the endothermic direction.

勒夏特列原理指出,若平衡体系受到扰动,平衡会向减弱该扰动的方向移动。增大反应物浓度使平衡右移;增大压强有利于气体物质的量较少的一侧;升高温度则有利于吸热方向。

Change Equilibrium shift
Add reactant / remove product Right
Increase pressure Toward fewer gas moles
Increase temperature Endothermic direction

In exam answers, always link the shift to the principle, state the direction, and then explain the effect on yield or Kc. Avoid saying the system counteracts the change completely; it only partially opposes it.

在考试作答时,始终将平衡移动与原理联系起来,说明移动方向,然后解释对产率或 Kc 的影响。不要说体系完全抵消了变化,它只是部分减弱变化。


9. Catalysts and Equilibria | 催化剂与平衡

A catalyst provides an alternative reaction pathway with lower activation energy. It speeds up both forward and reverse reactions equally, so it does not change the position of equilibrium or Kc, but it allows equilibrium to be reached faster.

催化剂提供活化能较低的另一条反应路径。它同等程度地加快正反应和逆反应,因此不改变平衡位置或 Kc,但使体系更快达到平衡。

This distinction is important in industrial processes: a catalyst improves the rate without sacrificing yield. Because Kc stays the same, the same equilibrium yield is eventually reached, just in a shorter time.

这一区别在工业过程中非常重要:催化剂提高速率却不牺牲产率。由于 Kc 不变,最终仍会达到相同的平衡产率,只是所需时间更短。


10. Industrial Application: The Haber Process | 工业应用:哈伯法

In the Haber process, nitrogen and hydrogen form ammonia: N₂ + 3H₂ ⇌ 2NH₃, ΔH = −92 kJ mol⁻¹. A compromise temperature of about 450 °C and high pressure around 200 atm are used with an iron catalyst. Lower temperature favours yield but reduces rate; higher pressure favours fewer gas moles but raises cost and safety concerns.

在哈伯法中,氮气与氢气生成氨:N₂ + 3H₂ ⇌ 2NH₃,ΔH = −92 kJ mol⁻¹。工业上使用约 450 °C 的折中温度和约 200 atm 的高压,并采用铁催化剂。较低温度有利于产率但降低速率;较高压强有利于气体物质的量较少的一侧,但增加成本和安全风险。

The process is a classic compromise between kinetic and thermodynamic factors. The iron catalyst makes a lower temperature practical by increasing the rate, while high pressure shifts equilibrium toward ammonia because there are 4 moles of gas on the left and 2 moles on the right.

该过程是动力学因素与热力学因素之间的经典折中。铁催化剂通过提高速率使较低温度变得可行,而高压使平衡向氨方向移动,因为左侧有 4 摩尔气体,右侧只有 2 摩尔气体。


11. Practical Methods for Following Rates | 监测反应速率的实验方法

Rates can be followed by measuring the volume of gas produced, loss in mass, colour change using a colorimeter, pH change, or electrical conductivity. Sampling and quenching with ice-cold water can stop a reaction for titration analysis.

可通过测量气体体积、质量损失、比色计颜色变化、pH 变化或电导率来跟踪反应速率。取样后用冰水淬灭可停止反应,以便滴定分析。

The method chosen depends on the reaction. For example, marble chips with hydrochloric acid can be followed by mass loss as CO₂ escapes, while the iodine clock reaction uses a colour change to measure time until a set amount of sulfur appears.

所选方法取决于具体反应。例如,大理石碎片与盐酸的反应可通过 CO₂ 逸出引起的质量损失来跟踪,而碘钟反应则利用颜色变化来测量出现一定量硫所需的时间。


12. Exam Tips and Common Misconceptions | 应试技巧与常见误区

When solving Kc problems, convert moles to concentrations before

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