Or, if we know the equation of state from a model, ideal gas, van der Waal's gas, whatever, u now we can determine u.

或者如果我们知道模型的状态方程,比如理想气体，范德瓦尔斯气体，无论什么，我们就可以利用状态方程得到内能。

麻省理工公开课 - 热力学与动力学课程节选

So from measured equation of state data, or from a model like the ideal gas or the van der Waal's gas or another equation of state you know this.

所以，从测量的到的状态方程的数据，或者从状态方程模型比如理想气体方程,范德瓦尔斯方程或者其他状态方程,我们就可以知道。

麻省理工公开课 - 热力学与动力学课程节选

And the beauty of that equation of state is that it only relies on two parameters.

范德瓦尔斯方程,先把结果写出来。

麻省理工公开课 - 热力学与动力学课程节选

Now, the most interesting one for our class the equation of state that's the most interesting, is the Van der Waals equation of state, developed by Mr. Van der Waals in 1873.

由范德瓦尔斯在1873年发展起来,这个方程的美妙之处，在于它只需要两个参数，下面我们来研究一下。

麻省理工公开课 - 热力学与动力学课程节选

So again, if you do a calculation where you're close enough to the ideal gas and you need to design your, if you have an engineer designing something that's got a bunch of gases around, this is a useful thing to use.

要研究近似理想气体的表现时,这个方程非常有用,下面再来看一个，对我们来说最有意思的,实际气体状态方程：,范德瓦尔斯方程。

麻省理工公开课 - 热力学与动力学课程节选

Remember the equation of state for Van der pV=nRT Waal's gas is not pV is equal to nRT, but p plus the attraction term.

记住范德瓦尔斯气体的状态,方程不是，而是p加上一个吸引项。

麻省理工公开课 - 热力学与动力学课程节选

Minus p, right? But in fact, if you go back to the van der Waal's equation of state b here's RT over v minus b.

再减去p，对吗，但是实际上，如果你代回范德瓦尔斯气体的状态方程,这里是RT除以摩尔体积减去。

麻省理工公开课 - 热力学与动力学课程节选