This needs to be stressed that this is the ideal gas case. Now regular gases, real gases fortunately as I said, don't obey this.

需要强调的是这是对理想气体而言的,普通气体，真实气体，就像我说过的,不遵循这个规律，这是非常重要的。

麻省理工公开课 - 热力学与动力学课程节选

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。

麻省理工公开课 - 热力学与动力学课程节选

for real gases. This is an equation of state for an ideal gases.

我们需要描述实际气体,的状态方程。

麻省理工公开课 - 热力学与动力学课程节选

This is real, unlike the Joule coefficient which is very small so that most gases have tiny Joule coefficients. So if you do a Joule experiment, you hardly measure a temperature change. With real gases, here you do actually measure it. You can feel it with your finger on your bicycle tire.

系数那样小以至于,大多数气体的焦耳系数,都很小，所以如果你做焦耳实验,很难测量出温度的变化,对于真实气体，你可以测量它，你能通过手指按在,自行车轮胎上来感觉到它。

麻省理工公开课 - 热力学与动力学课程节选

Real refrigerators actually work with liquids that go into gases so use the latent heat of the liquid, so it doesn't really work like the Joule-Thomson expansion. So this is real.

液体变成气体来工作,以运用液体的潜热，所以这不是,真正像焦耳-汤姆逊膨胀一样工作,这是真实的气体，不像焦耳。

麻省理工公开课 - 热力学与动力学课程节选