And the equation of state, pressure versus volume at constant temperature, is going to have some form, let's just draw it in there like that.

系统的态函数，恒温下压强比体积，变化曲线，就像这样。

麻省理工公开课 - 热力学与动力学课程节选

Now going from three to four right, so we have another isothermal process for an ideal gas, so I won't try to make you sing again so soon.

从第三点到第四点，这也是一个理想气体的,恒温过程，这次不用你们集体回答了。

麻省理工公开课 - 热力学与动力学课程节选

For example, the thermostat in your dorm room.

比如,你卧室里的恒温器

耶鲁公开课 - 生物医学工程探索课程节选

So we're going to start at one, T1 and this is going to be in isotherm at temperature T1, and all the paths here are going to be reversible.

我们从一开始，这是个绝热恒温过程，温度是，所有路径都是可逆的。

麻省理工公开课 - 热力学与动力学课程节选

v du/dV under constant temperature. du/dT v under constant volume. You use the Joule expansion to find these quantities.

像偏u偏v，恒温下的偏u偏,恒容下的偏u偏,你们知道怎么运用焦耳定律。

麻省理工公开课 - 热力学与动力学课程节选

And here, in an isothermal expansion, The bath is putting back the energy that the gas is expanding or using to expand, and so the energy is flowing back into the gas through the environment in the isothermal expansion.

而在等温膨胀中，恒温环境将气体膨胀对外做功,而损失的能量又返还回来，在等温膨胀中,能量从环境,流向系统。

麻省理工公开课 - 热力学与动力学课程节选

Maybe you don't control thermostats in your dorm room, some of you do and some of you don't probably, and maybe it doesn't work very well so it might not be a good example, but imagine a perfect thermostat that you set for a temperature and then the temperature stays the same inside the room no matter what the temperature is outside.

可能你根本就不理卧室里的恒温器,有些人去调它,有些人就置之不理,可能它压根就是坏的,所以这个例子也许并不恰当,但你还是想象一个完美运行的恒温器,你设定温度后房间里的温度就保持不变,不管外面温度是多少

耶鲁公开课 - 生物医学工程探索课程节选

It's an isothermal change.

这是恒温的变化。

麻省理工公开课 - 热力学与动力学课程节选

p This is going to get us dH/dp constant temperature. What is this experiment?

这帮助我们理解恒温条件下的偏H偏,那么这个实验具体是什么呢？

麻省理工公开课 - 热力学与动力学课程节选

So we already know that. So now we can write CpdT or differential dH as Cp dT plus dH/dp, pdp constant temperature, dp.

我们已经知道了这个，所以我们现在,可以写出H的微分式：dH等于，加上恒温时的偏H偏。

麻省理工公开课 - 热力学与动力学课程节选

OK, so now we have the other one, p dH/dp constant temperature.

好的，现在我们来研究另一个量，在恒温条件下的偏H偏。

麻省理工公开课 - 热力学与动力学课程节选

T Remember, we're trying to get delta H, p we're trying to get dH/dT constant pressure and dH/dp constant temperature. OK, these are the two things were trying to get here.

想要得到在恒压状态下的偏H偏，和在恒温状态下的偏H偏,好的，这是两个我们，在这里想要得到的东西。

麻省理工公开课 - 热力学与动力学课程节选