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。

麻省理工公开课 - 热力学与动力学课程节选

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。

麻省理工公开课 - 热力学与动力学课程节选

And then we can take the derivative with respect to temperature, it's just R over molar volume minus b.

这样我们求,压强对温度的偏导数，结果等于R除以摩尔体积V杠减去b的差。

麻省理工公开课 - 热力学与动力学课程节选

So d/dT of dA/dV, just like this.

即对dA/dV求对温度T的偏导数。

麻省理工公开课 - 热力学与动力学课程节选

dA/dT dS/dV So this is negative dS/dV.

是负S，It’s，negative，S。,这个二阶偏导数是负的恒定温度下的。

麻省理工公开课 - 热力学与动力学课程节选

The dA/dV is calculated at constant temperature.

就像这样，dA/dV是在恒定温度下的偏导数。

麻省理工公开课 - 热力学与动力学课程节选