2024年4月7日发(作者：)

化学方程式系数扩大两倍,平衡常数

英文回答：

The equilibrium constant (Keq) is a quantitative

measure of the extent to which a chemical reaction proceeds

towards completion. It is defined as the ratio of the

concentrations of the products to the concentrations of the

reactants at equilibrium.

When the coefficients of a balanced chemical equation

are multiplied by a factor, the equilibrium constant

remains unchanged. This is because the coefficients merely

scale the concentrations of the reactants and products, but

they do not change the relative proportions of these

species at equilibrium.

For example, consider the following balanced chemical

equation:

aA + bB <=> cC + dD.

where a, b, c, and d are the stoichiometric

coefficients. The equilibrium constant for this reaction is:

Keq = [C]^c[D]^d / [A]^a[B]^b.

If we multiply all of the coefficients by a factor of 2,

we get the following equation:

2aA + 2bB <=> 2cC + 2dD.

The equilibrium constant for this new equation is:

Keq = [C]^2c[D]^2d / [A]^2a[B]^2b.

As you can see, the equilibrium constant has not

changed. This is because the relative proportions of the

reactants and products at equilibrium are the same in both

equations.

中文回答：

平衡常数（Keq）是衡量化学反应进行到何种程度的定量指标。

它的定义是平衡时产物浓度与反应物浓度的比值。

当平衡化学方程式的系数乘以一个因子时，平衡常数保持不变。

这是因为系数只改变反应物和产物的浓度，但不改变这些物质在平

衡时的相对比例。

例如，考虑以下平衡化学方程式：

aA + bB <=> cC + dD.

其中 a、b、c 和 d 是化学计量系数。该反应的平衡常数为：

Keq = [C]^c[D]^d / [A]^a[B]^b.

如果我们将所有系数乘以因子 2，则得到以下方程式：

2aA + 2bB <=> 2cC + 2dD.

该新方程式的平衡常数为：

Keq = [C]^2c[D]^2d / [A]^2a[B]^2b.

正如你所看到的，平衡常数没有改变。这是因为在两个方程式

中，反应物和产物在平衡时的相对比例都是相同的。