So we'll look at the chemical potentials.
所以我们要研究化学势。
It all starts from the chemical potentials being equal.
都是化学势相等出发。
You have the chemical potentials that have to be equal to each other.
所以我们有约束条件,化学势必须相等。
Where I'm going to have to worry about the chemical potentials of mixtures.
我们需要考虑，混合体的化学势。
So now we have this equation, where we started out with the chemical potentials.
现在我们有这样一个方程，从化学势开始。
And at that point the chemical potentials of both sides are going to be the same.
此时两边的化学势，相等。
And I know the Gibbs free energy is just the sum of the chemical potentials, right?
我们知道吉布斯自由能，等于化学势之和，对吗？
And at some point the chemical potentials will equalize because of the change in pressure.
到达某个程度时化学势，会由于压强的改变而平衡。
So for each one of these chemical potentials, I'm going to write it in terms of the pressure.
对这些化学势的任何一个，我把它写成压强的函数。
And then we expand it out in terms of the standard chemical potentials for everything being pure.
然后按照所有，纯净物的标准化学势展开混合。
When we get to the colligative properties, we'll attack it from the point of chemical potentials.
当我们考虑依数效应时，我们从化学势的角度出发。
But we know now how to go from chemical potentials to partial pressures. It's written right here.
我们知道了怎样从化学势，得到分压，就写在这儿。
Chemical potentials of a, in the gas phase has to be the same as the chemical potential of a in the liquid phase.
处于气态的A的化学势等于，处于液态的A的化学势。
Equations of state, change of phase, ideal gases, chemical potentials, chemical reactions, equilibrium equations, affinity.
状态方程，相变，理想气体，化学势，化学反应，平衡方程，亲和力。
And instead of these chemical potentials, you would write them in terms of the pure chemical potentials times their concentrations.
用纯化学势，乘以它们的浓度，代替这些化学势。
We'll equate chemical potentials and we'll look at the change in the chemical potential in the water, and the presence of the sugar and we'll do it rigorously.
我们让化学势相等，然后考察，当水中存在糖的时候，水化学势的变化，这可以严格做到。
As substances are in different aggregated states, there are different definitions of standard states, and different chemical potentials in standard states.
物质的聚集状态不同，因而定义的标准状态不同，故在标准状态时的化学势各异，标准平衡常数与标准态化学势有关，与经验平衡常数有别。
As substances are in different aggregated states, there are different definitions of standard states, and different chemical potentials in standard states.
物质的聚集状态不同，因而定义的标准状态不同，故在标准状态时的化学势各异，标准平衡常数与标准态化学势有关，与经验平衡常数有别。
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