Let's try it with a different equation of state, that isn't quite as simple as the ideal gas case.
考虑一个不同的状态方程,这状态方程不像理想气体状态方程那么简单。
I know I only need 2, so I can relate dV dV to dp through the ideal gas law.
我只需要两个就够了,因此可以用,理想气体状态方程消去。
For real gases, there's a whole bunch of equation the states that you can find in textbooks, and I'm just going to go through a few of them.
这是理想气体的状态方程,对实际气体,你可以在教科书里,找到许多描述它们的,状态方程。
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。
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。
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。
nRT So, dp/dT, for our ideal gas, at constant volume, remember pV is nRT.
对于理想气体状态方程pV等于,所以对理想气体。
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