Per mole, which is just the Gibbs free energy of vaporization.
每摩尔·吉布斯自由能，就是汽化的吉布斯自由能。
So we can replace this with the change in Gibbs free energy from going from gas to liquid.
所以这一项我们可以替代它，用从气相到液相变化的吉布斯自由能。
And it relates the temperature change in the Gibbs free energy with the enthalpy change.
这个方程把吉布斯自由能中的温度变化，和焓的变化联系起来。
So this means that they were taking the derivatives of the Gibbs free energy with respect to one of its variables is something that we should know.
这意味着，当我们对吉布斯自由能求它的变量，的偏导数的时候，我们会得到我们以前学过的东西。
And this is the Gibbs free energy per mole.
化学势是一摩尔物质的吉布斯自由能。
We learned that the pressure dependence of the Gibbs free energy gives you the pressure dependence for the chemical potential.
我们还知道吉布斯自由能，对压强的依赖关系决定了，化学势对压强的依赖关系。
Now, the chemical potential, as we saw, was the Gibbs free energy.
现在，化学势，就像我们看到的，等于吉布斯自由能。
Especially when you're talking about something like a chemical potential, which is really nothing but the Gibbs free energy.
尤其是当你谈论诸如,化学势之类的东西的时候，实际上这就是吉布斯自由能。
Who remembers? Gibbs free energy?
有谁记得？吉布斯自由能？
The Gibbs free energy. Notice, we could also write, let's rewrite that.
吉布斯自由能，注意，我们还可以这样写，重写一下。
OK, now I have this derivative of the Gibbs free energy divided by the temperature.
现在要进行微分，对除以温度之后的吉布斯自由能。
The Gibbs free energy per mole of a in the liquid phase.
液相中的化学势就是，液相中每摩尔a的吉布斯自由能。
And this is just the Gibbs free energy per mole of a in the gas phase.
气相中的化学势，就是气相中每摩尔a的吉布斯自由能。
So this is the variable that goes with Gibbs free energy.
所以这就是吉布斯自由能的变量。
And then we can also write this in terms of the Gibbs free energy for the reaction.
然后我们可以用反应的，吉布斯自由能把它写出来。
So we go back to writing what the Gibbs free energy is.
我们回到吉布斯自由能的表达式。
And that gives you the Gibbs free energy.
就得到了吉布斯自由能。
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？
For the Gibbs free energy it was the pressure and the temperature, the number of particles.
对吉布斯自由能是压强，温度和粒子数。
Changes in Gibbs free energy, changes in the chemical potential. Everything will be related to this partition function. This subsystem.
吉布斯自由能和化学势的变化，一切都，由这个子系统决定。
With respect to pressure, when we know that the variables that we use for Gibbs free energy are pressure and temperature. Right?
对压强求导，你知道吉布斯自由能，的变量是压强和温度？
And so that led us to the definitions of other energy quantities, the Helmholtz and Gibbs free energy.
这就要求我们定义，其他的和能量相似的物理量，亥姆赫兹和吉布斯自由能。
The mechanism of phase transition temperature of film changing with film thickness is explained by the influence of Gibbs free energy on phase transition.
进而根据界面能对相变温度的影响，对钛酸铅薄膜的相变温度随薄膜厚度的变化规律进行了解释。
Multiphase equilibrium mathematical model for the copper flash smelting process is established based on the Gibbs principle of minimum free energy.
基于吉布斯最小自由能原理，建立了铜闪速熔炼过程的多相平衡数学模型。
The enthalpy effect and the entropy effect of a process are used to discover the essence of Gibbs free energy criterion with actual examples.
通过实例，运用过程的焓效应和熵效应，揭示吉布斯自由能判据的本质，从而引出其他特定过程对应方向性的判据。
Based on the theory of radial distribution function, a new unified model for excess enthalpy and excess Gibbs free energy of liquid solution was proposed.
本文根据径向分布函数理论，导出了一个新的统一的溶液过量焓和过量自由焓模型，并用可靠的计算机模拟数据进行了对照检验。
The Gibbs free energy of solvation is well correlated with the differences of the dipole moments between the gas and aqueous phases.
溶剂化吉布斯自由能与异构体在两相中偶极矩之差存在相关性。
So again with the Gibbs free energy, now I see how to determine, if I change the pressure, if I change the temperature by some modest amount, how much is the Gibbs free energy going to change?
再一次通过吉布斯自由能，我知道当我，适当的改变压强和，温度的时候，吉布斯自由能如何变化？
The Gibbs free energy has very important application in agriculture and biology.
吉布斯自由能作为基本热力学函数，在农业和生物学中有着重要的应用。
Based on the principles of thermodynamics, the changes of Gibbs free energy and melting equilibrium temperature of pure materials caused by magnetization in a high magnetic field were analyzed.
从热力学基本原理出发初步分析了强磁场磁化对纯物质吉布斯自由能和平衡凝固温度的影响。
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