把对压强的导数拿出来,看看有什么发生。
Let's take the derivative outside with pressure and see what happens.
微积分基本定理,不是曲线积分的,告诉我们,如果对函数的导数积分,就会得回原函数。
So, the fundamental theorem of calculus, not for line integrals, tells you if you integrate a derivative, then you get back the function.
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。
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.
So, all I want to do now is look at the derivatives of the free energies with respect to temperature and volume and pressure.
我现在所要做的一切就是,考察自由能对,温度,体积和压强的偏导数。
That is, it's easy to write down straight away that dG with respect to temperature at constant pressure S is minus S.
这就是说,可以很简单的写出dG在,恒定压强下对温度的偏导数,是负。
And, coincidently, what is the partial of energy with respect to distance?
巧合的是,能量对距离的导数是什么?
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