So this unique temperature and unique pressure defines a triple point everywhere, and that's a great reference point.
这样,无论在何处,三相点都具有相同的温度和压强,十分适合来作参考点。
It sounds pretty silly, but it's really important because it allows you to define a thermometer and temperature.
这听起来相当白痴,但是它确实很重要,因为它让你可以定义,温度计和温度。
Well, if you get the combustion chamber hot enough, in point of fact, there are some reactions between nitrogen and the oxygen.
如果燃烧室的温度足够高的话,实际上在氮气和氧气之间,会发生一些反应。
So temperature in Fahrenheit maybe with a space, just to get the aesthetics to look a little interesting.
华氏温度可能用一个间隔来,使其更加美观和有趣。
Virtue is to be fought for and raced for, not without dust and heat.
美德是要竞争和奋斗的,没有痕迹和温度。
On the other hand, temperature, volume and pressure are variables that are much easier in the lab to keep constant.
另一方面,温度,体积和压强,在实验室中比较容易保持恒定。
We could just collect a bunch of data. For a material .What's the volume it occupies at some pressure and temperature?
对一种物质我们可以得到一系列测量数据,在给定的温度和气压下,它的体积是什么?
OK, now what we'd like to do is be able to calculate any of these quantities in terms of temperature, pressure, volume properties.
现在我们想要做的是能够利用,温度,压强和体积的性质,计算上面的物理量。
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 need a functional form that connects the value at one state of matter, the freezing point of water to another phase change, the boiling point of water.
你需要一个函数形式来,连接物质某个态对应的温度值,如水的冰点,和另一个相变,如水的沸点。
And you already saw last time there was this relationship between the temperature and volume changes along an adiabatic path.
是条绝热路径,而上次你已经看到,沿着绝热路径温度和体积,的变化有这个关系。
Whereas under these conditions, these quantities, if you look at free energy change, for example at constant temperature and pressure, H you can still calculate H.
但是,在这些条件下,这些物理量,如果我们考察自由能的变化,例如在恒定的温度和压强下,我们仍然可以计算。
For instance, the pressure and the temperature, or the volume and the pressure.
比如压强和温度,或体积和压强。
It's a state function, so we're at constant temperature and pressure, and now we want to consider some chemical change or a phase transition or you name it.
这就是态函数,我们处于恒定的温度和压强之下,然后考虑某些化学变化或者相变,或者你想考虑的东西。
And so, again, we see a temperature increase, and we know the work, and the temperature increase, it's a constant pressure thing.
好,我们看到温度升高了,然后我们有做功量和温度的升高量,这是一个恒定压力下的值。
All right, next time we're going to talk about a much better scale, which is the ideal gas thermometer and how we get to the Kelvin scale.
好,下次我们,会讲一种好得多的温标,关于理想气体温度计,和开氏温标的导出。
And you can find these compressibility factors in tables. If you want to know the compressibility factors for water, for steam, at a certain pressure and temperature, you go to a table and you find it.
各种气体的压缩系数,想知道水或者水蒸气,在某个温度和压强下的,压缩系数,查表就行了,这是实际气体状态方程的。
All right, so now we have the makings of a good thermometer and a good temperature scale.
这一常数只决定于温度,于是我们现在,可以定义一个理想的温度计和温标了。
Because so much of what we do in chemistry does take place with constant temperature and pressure.
因为化学中我们所做的很多东西,都是在恒定的温度和压强下进行的。
Heat capacity relates the amount of heat that you add to the system to the change in temperature, and this is the relationship.
热容联系起给系统提供的,热量和温度的变化,关系式是这样的:
There's our condition for equilibrium at constant temperature and pressure.
这就是我们在,恒定温度和压强下的平衡条件。
Now, the coefficient that relates the amount of heat in to the temperature change is obviously going to be different for these two cases.
在这两个例子中,很显然联系热量和温度变化的系数,是不一样的。
So, all I want to do now is look at the derivatives of the free energies with respect to temperature and volume and pressure.
我现在所要做的一切就是,考察自由能对,温度,体积和压强的偏导数。
OK, now, we're going to look at the internal energy, and we're going to pretend that it is explicitly a function of temperature and volume.
好,我们接下来看看内能,我们假设,它是温度和体积的函数。
So we don't really need to put in a certain amount of heat and change the temperature of the products and the calorimeter and so on.
所以我们实际上并不需要输入,一定的热量,改变生成物,和量热计的温度之类。
Now, I know how to relate the heat flow to temperature change, through the heat capacity.
现在我知道怎样把能量的流动,和温度的变化联系起来,通过热容。
The same temperature increase, work and heat, and we have a relationship between heat and work.
同样的温度升高,功和热,因此我们可以得到功和热的关系了。
So again with the Gibbs free energy, now I see how to determine, if I change the pressure, if I change the temperature by some modest amount, how much is the Gibbs free energy going to change?
再一次通过吉布斯自由能,我知道当我,适当的改变压强和,温度的时候,吉布斯自由能如何变化?
and final points, a relationship between the temperature and volume for the initial and final points.
我们就得到了,初末态的温度,和体积间的关系。
But it's allowed to say the internal energy is a function of temperature and volume.
但是我们也可以说内能,是温度和体积的函数。
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