I'm going to write it like this three moles of hydrogen which is a gas one bar 100 degrees Celsius.
我会写成这样:,三摩尔氢分子,气体,1巴,100摄氏度。
For a real gas it depends on more than the temperature STUDENT: Are there any other constraints similar to that .
而对实际气体,这是不对的,它的内能不仅仅依赖于温度,学生:有其他,类似的约束吗?
So do you think noble gases would have a high positive electron affinity, a low positive, or negative electron affinity?
那么,你认为稀有气体的电子亲和能,应该是一个高的正值,一个低的正值,还是一个负值?
He had a tube with electrodes potted in it filled with atomic hydrogen. And by applying a voltage, he was able to get the gas to glow.
那是个装满了氢原子并含有电极的管子,通过增加一个电压,他让气体燃烧起来了。
If you start segregating the gases, there are fewer possible configurations that because you're forcing a particular set of circumstances.
如果你开始分离这些气体,整个系统所具有的可能的状态就会变少,你强加了一个特定的条件。
So when I expand this gas adiabatically and it cools down, why do you think it might cool down?
现在我们知道了气体绝热膨胀时,温度会下载,为什么会降温?
OK, this is only true for an ideal gas, and we went through that mathematically where the, with a chain rule.
这一关系只对理想气体成立,上节课我们,用链式法则推导出了这一关系。
pV=RT dT here because the pressure is constant, dV=RdT/p so dV is equal to R over p dT.
因为对1摩尔气体有,于是。
I left out the noble gases here because they do something a little bit special, and actually, I'm going to give you one last clicker question today to see if you can tell me what you think noble gases do.
我并没有把稀有气体算在里面,因为它们的电子亲和能有点特别,实际上,我将会把这作为今天的,最后一个选择题,来请大家告诉我,你们觉得稀有气体电子亲和能应该是怎样的。
This is the diagram taken right from your text, there are the two electrodes coming in and this is atomic hydrogen in the gas tube.
这是从教科书上复制下来的图表,这里有两个电极进来,这是气体管中的氢原子。
Versus looking at, for example, helium or neon or argon, these are all inert gases, inert meaning essentially do not react, those were grouped together in the periodic table.
相反,他发现氦,氖,氩,都是惰性气体,惰性的意思是基本不参与化学反应,因此把它们放在周期表中的同一类里。
You take fuel, rather you take something that's warm, and you put it in contact with the atmosphere, it cools down.
改变约束,继续加热,气体膨胀。
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。
This is the fact that we occupy a finite volume in space, because they're little hard spheres in this molecule.
这是由气体分子在空间中,占据有限体积造成的,因为事实上它们是硬的小圆球。
So let's take our one model that we keep going back to Equation of state, and just see how it works.
我们回到经常使用的理想气体模型,或者说状态方程。
And we saw that in fact in this case delta S of mixing, we calculated it, saw that it is positive.
实际上如果我们计算气体混合过程中,熵的变化,我们会发现这个量是正的。
Now, we saw before, or really I should say we accepted before, that for an ideal gas, u was a function of temperature only.
我们已经看到,或者说我们已经接受这样一个事实,即理想气体的内能只和温度有关。
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。
So, clearly, if we remove this barrier mixing takes place and obviously you know that that happens from lots of experience.
所以很明显,如果我们拿走隔板,气体混合就会发生,我们从大量的实际经验中就可以知道这些。
But if you touch the valve going into your tire which basically measures the temperature of the air going into your tire, that is getting hot, right.
以至于浑身发热,如果你摸气筒的阀门,相当于近似测量了进入轮胎的气体的温度,它会很热,对吧。
This quantity is exactly zero for an ideal gas and we'll discover why eventually it has to do with what we mean by an ideal gas it turns out.
对理想气体它是零,这点我们接下来会知道是,为什么,这与为什么我们叫它理想气体有关。
All right, then as I push through, I'm going to start with all of my gas on this side, and at the end I'm going to have all the gas on the other side.
好的,随着我的推动,刚开始这些气体全在这一边,到了最后,这些气体全在另一边。
Here just two, so we changed the number of moles of gas by three. All right, how much did it matter, right?
所以我们将气体的摩尔数,改变了3摩尔,好,它会起多大作用?
So the work that you're doing to expand, to go through this experiment, ends up cooling the gas.
因此在膨胀气体的过程中,气体降温。
So that you could see that for the ideal gas, u would not be a function of volume, but only of temperature.
所以我们可以看到对理想气体,内能不依赖于体积,而仅仅是温度的函数。
I want to cool a gas with a Joule-Thomson experiment, what temperature do I have to be at?
给气体降温时,需要到达什么温度?
So, you do this measurement, you measure with the gas, you measure the pressure and the molar volume.
现在让压强趋于,现在测量气体的压强,和摩尔体积。
So for an ideal gas, we saw that u was only a function of temperature.
对于理想气体,我们知道内能只是温度的函数。
And so now, instead of using these reference points for the Kelvin scale, we use the absolute zero, which isn't going to care what the pressure is.
就像理想气体温标,与气体的种类无关一样,具有普适性,在开尔文温标中。
In other words, we're taking advantage of the fact that we now know that quantity. In the case of the ideal gas we just have a simple model for it.
换句话说,我们可以利用我们已经,了解这个物理量的这个优势,对理想气体我们有一个简单的模型。
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