双语化学辞典Chem Lexicon
概念 · 物理化学 · 化学平衡 Physical chemistry · Equilibrium

化学平衡Chemical equilibrium

拼音Pinyin huà xué píng héng 别名Also 平衡状态; equilibrium

定义Definition

化学平衡是可逆反应在一定条件下正反应速率与逆反应速率相等、各物质浓度不再随时间变化的状态。它是一种动态平衡:宏观上反应停止,微观上正逆反应仍在不断进行。

Chemical equilibrium is the state of a reversible reaction in which, under given conditions, the forward and reverse rates are equal and the concentrations no longer change with time. It is a dynamic balance: no net change is seen, yet the forward and reverse reactions continue at the molecular level.

原理Principle

对反应 aA + bB ⇌ cC + dD,平衡时 K = [C]ᶜ[D]ᵈ / [A]ᵃ[B]ᵇ 为常数(质量作用定律),只与温度有关。热力学上 ΔrG° = −RT ln K;任意时刻反应商 Q 与 K 比较可判断方向:Q < K 正向进行,Q = K 达到平衡,Q > K 逆向进行。平衡状态与从哪一侧开始无关。

For aA + bB ⇌ cC + dD, at equilibrium K = [C]ᶜ[D]ᵈ / [A]ᵃ[B]ᵇ is a constant depending only on temperature (the law of mass action). Thermodynamically ΔrG° = −RT ln K, and comparing the reaction quotient Q with K gives the direction: Q < K runs forward, Q = K is at equilibrium, Q > K runs backward. The equilibrium state is the same whichever side it is approached from.

由来Origin

1803 年贝托莱在埃及观察到盐湖边 Na₂CO₃ 的生成,意识到反应方向受物质数量影响。1864 年挪威的古德贝格和瓦格提出质量作用定律。1884 年范特霍夫给出平衡常数与温度的关系,同年勒夏特列提出平衡移动原理;1870 年代吉布斯建立的化学势理论为化学平衡提供了严格的热力学基础。

In 1803 Berthollet, seeing Na₂CO₃ form on the shores of Egyptian salt lakes, realised that the direction of a reaction depends on the amounts present. In 1864 the Norwegians Guldberg and Waage proposed the law of mass action. In 1884 van 't Hoff related equilibrium constants to temperature and Le Chatelier gave his principle, while Gibbs's theory of chemical potential in the 1870s provided the rigorous thermodynamic foundation.

类型与应用Types and applications

化学平衡包括电离平衡(Ka、Kb、Kw)、沉淀溶解平衡(Ksp)、配位平衡(K稳)和气相平衡(Kp)等。工业上通过控制温度、压强和浓度,使合成氨、制硫酸、酯化等反应获得较高产率;生物体内的血液缓冲体系、氧合血红蛋白的结合与释放也遵循平衡原理。

Equilibria include ionisation (Ka, Kb, Kw), solubility (Ksp), complex formation (stability constants) and gas-phase equilibria (Kp). Industry controls temperature, pressure and concentration to obtain high yields in ammonia synthesis, sulfuric acid manufacture and esterification; in the body, blood buffering and the loading and unloading of oxygen by haemoglobin follow the same principles.

反应Reactions

aA + bB ⇌ cC + dD K = [C]ᶜ[D]ᵈ / ([A]ᵃ[B]ᵇ)

纯固体和纯液体不写入平衡常数表达式。

Pure solids and liquids are left out of the equilibrium expression.

H2(g) + I2(g) ⇌ 2 HI(g) K ≈ 50 (448 °C)

经典的气相平衡

A classic gas-phase equilibrium

CaCO3(s) ⇌ CaO(s) + CO2(g) Kp = p(CO2)

多相平衡

A heterogeneous equilibrium

AgCl(s) ⇌ Ag+ + Cl− Ksp = 1.8 × 10−10

沉淀溶解平衡

A solubility equilibrium

年表Timeline

  • 1803

    贝托莱提出反应受质量影响的观点

    Berthollet argues that mass affects reactions

  • 1864

    古德贝格与瓦格提出质量作用定律

    Guldberg and Waage propose the law of mass action

  • 1876

    吉布斯发表关于多相平衡的论文

    Gibbs publishes on heterogeneous equilibrium

  • 1884

    范特霍夫与勒夏特列的工作

    Work by van 't Hoff and Le Chatelier

相关公式Formulas

平衡常数 Equilibrium constant→
\[a\mathrm A + b\mathrm B \rightleftharpoons c\mathrm C + d\mathrm D:\qquad K_c = \frac{[\mathrm C]^c[\mathrm D]^d}{[\mathrm A]^a[\mathrm B]^b},\qquad K^\circ = \prod_\mathrm J a_\mathrm J^{\nu_\mathrm J}\]
例题Worked example

H₂ + I₂ ⇌ 2HI,698 K 时 K = 54:若起始 [H₂] = [I₂] = 1.00 mol/L,平衡时 [HI] = 1.57 mol/L。

H₂ + I₂ ⇌ 2HI at 698 K (K = 54): from 1.00 M each, [HI] = 1.57 M at equilibrium.

范特霍夫等温式(反应商) Reaction isotherm (reaction quotient)→
\[\Delta_rG = \Delta_rG^\circ + RT\ln Q = RT\ln\frac QK\]
勒夏特列原理的定量形式 Le Chatelier's principle, quantitatively→
\[\left(\frac{\partial\ln K_x}{\partial p}\right)_T = -\frac{\Delta n_g}{p},\qquad \left(\frac{\partial\ln K}{\partial T}\right)_p = \frac{\Delta_rH^\circ}{RT^2}\]
例题Worked example

N₂O₄ ⇌ 2NO₂(298 K,Kp = 0.148):1 bar 时解离度 18.9%,10 bar 时 6.1%。

N₂O₄ ⇌ 2NO₂: dissociation 18.9 % at 1 bar, 6.1 % at 10 bar.

一级对峙反应(弛豫) Reversible first-order reaction (relaxation)→
\[[\mathrm A] - [\mathrm A]_\text{eq} = ([\mathrm A]_0 - [\mathrm A]_\text{eq})\,e^{-(k_1 + k_{-1})t},\qquad K = \frac{k_1}{k_{-1}},\qquad \tau = \frac{1}{k_1 + k_{-1}}\]
例题Worked example

H⁺ + OH⁻ ⇌ H₂O 的复合速率常数(1.4×10¹¹ L·mol⁻¹·s⁻¹)由温度跳跃法测得,是已知最快的溶液反应之一。

H⁺ + OH⁻ recombination (1.4×10¹¹ L mol⁻¹ s⁻¹) was measured by temperature jump.