You're allowed Cv comes out here for this adiabatic expansion, which is not a constant volume only because this is always true for an ideal gas.

绝热过程写下,这个式子是因为它对理想气体都成立，并没有用到等容过程的条件,只用了理想气体的条件。

麻省理工公开课 - 热力学与动力学课程节选

Cv+R=Cp Cv is equal, oh Cv plus R is equal to Cp it's a relationship that we had up here that we wanted to prove.

我们就得到了,我们一开始,想要证明的。

麻省理工公开课 - 热力学与动力学课程节选

Cv So, for Cp and Cv, these are often quantities that are measured as a function of temperature, and one could, in fact, calculate this integral.

一般Cp和,都是温度的函数，因此实际上，我们可以将这个积分计算出来。

麻省理工公开课 - 热力学与动力学课程节选

Here's heat exchanged in pathway A and in pathway B heat is zero, and in pathway C, Cv here is qC it's Cv T1 minus T2.

这是qA，这是路径A上的热量交换,路径B中的热量交换是零，而在路径C中，这是qC，它是。

麻省理工公开课 - 热力学与动力学课程节选

So if you're going to turn the crank v on the math correctly, you're going Cv to have to change this p into a V somehow.

所以如果哟啊正确地推导,我们需要把这个p变成,因为从数学上说这不是。

麻省理工公开课 - 热力学与动力学课程节选

If you have a real gas and you write du is Cv dT and your path is not a constant volume path, then you are making a mistake. But for an ideal gas, you can always write this. And this turns out to be very useful to remember.

对于真实气体，如果其变化过程,不是恒容的，du=Cv*dT就不成立，但对于理想气体,这条规则永远成立,这一点非常有用，请记住。

麻省理工公开课 - 热力学与动力学课程节选

Cv The only difference is it'll be Cp instead of Cv, B but there it is for pathway B. There it is for C a pathway C. So the state functions that we're familiar with are doing what we expect they ought to be doing, right? If you go around in a cycle, starting and ending at the same place the state functions have to stay the same.

是Cp而不是，这是路径,这是路径,所以我们熟悉的态函数的行为,正与我们预期的相同，对吧？,如果你沿着循环走一圈,开始和结束于同一个位置。

麻省理工公开课 - 热力学与动力学课程节选