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。

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？

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 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。

Well, we know how Kp depends on temperature, through the Gibbs free energy of the reaction.

好我们知道Kp依赖于温度，通过反应的。

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。

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 objective function of total Gibbs free energy of system is linearized to solve the optimality problem by linear programming.

将目标函数（物系总自由焓）作线性化处理，用单纯形法求解线性化后的寻优问题。

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。

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。

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？

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。

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。

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。

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 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。

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。

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。

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。

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。