You just need a few macroscopic variables that are very familiar to you, like the pressure, the temperature, the volume, the number of moles of each component, the mass of the system.
你只需要某些你非常熟悉的宏观变量,比如压强,温度,体积,每个组分的摩尔数,系统的质量。
Path number 3 is a constant temperature path, and I already wrote the answer.
它是一个等温过程,我已经写出了答案。
Avogadro was a professor of chemistry at the University of Turin who did a lot of work on gas laws, understanding the number of gas particles in a given volume at a given temperature.
阿伏加德罗是一个化学教授,在都灵大学,他做了很多关于气体定律的研究,了解气体微粒,在特定的容量和温度下的数目。
They would bomb it, they would burn it, they would put it in this container inside water, and see how high the water temperature raises and that would give you a sense of the number of calories that it has.
研究人员会燃烧它,放入浸在水里的量热器,然后观察水温上升了多少,我们就对这种食物热量有所了解了
In this case, V = /P. Have two quantities and the number of moles gives you another property. You don't need to know the volume. All you need to know is the pressure and temperature and the number of moles to get the volume.
以及气体的摩尔数,就可以得到第三个量,知道压强,温度和气体的,摩尔数就可以推导出气体的体积,这称为状态方程,它建立了状态函数之间的联系。
So now, this equation here relates three state functions together: the pressure the volume, and the temperature. Now, if you remember, we said that if you had a substance, if you knew the number of moles and two properties, you knew everything about the gas.
压强,体积和温度,大家应该还记得,我们提过,只要知道气体的摩尔数,和任意两个状态函数,就可以推导出其他的状态函数,这样,我们可以把它改写成。
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