Because we did work at constant pressure, and so it's just volume difference times pressure.
因为是在恒压下做功,所以功就等于体积变化乘以压力。
This is just an equality. I have a constant pressure dH process. This term here is equal to zero.
这是一个等式,这是个恒压过程,这项等于零,这意味着。
So, these two are equal to each other as well which tells me that this derivative, Cp dH/dT constant pressure is Cp.
所以这两者也相等,这告诉我们在恒压下微分,等于。
It's constant pressure. OK, so now, last time you looked at the Joule expansion to teach you how to relate derivatives like du/dV.
这是恒压的,好,上节课你们,学习了焦耳定律,以及怎样进行导数间的变换。
It is taking place inside this thing, and it's a constant pressure, and we'll do it reversibly, right. So that's what we've got.
它是绝热的,在这个内反应,是在恒压下,它是可逆的,对吧?
OK, so this, what I've sketched here would be a constant pressure calorimeter. There's a reaction.
好,我画的就是一个恒压量热计,其中进行一个反应。
And our heat of reaction or enthalpy of reaction is defined as the enthalpy at constant pressure.
我们的反应热,或反映,的焓被定义为恒压,等温。
You just change volume to pressure and basically you're looking at enthalpy under a constant -- anything that's done at a constant volume path with energy, there's the same thing happening under constant pressure path for enthalpy.
可以看到这就是把体积换成了压强,一般我们都是在一种恒定状态下,考虑焓的,任何在恒容条件下,能伴随能量变化的东西,也在恒压条件下伴随焓同样地变化,所以你可以经常。
so that's what we think we know in constant pressure calorimetry.
好,我想这就是我们,在恒压量热法中所知道的。
Normally this is used for a reaction in the condensed phases and liquid usually.
通常它是用于凝聚态,液体相的反应,这是一个恒压量热计。
This depends on the path. It tells you right here the path is constant pressure. These don't depend on the path, right. V doesn't care how you v get there. u doesn't care how you get there.
这由变化的具体路径决定,这个小脚标表明过程是恒压的,这些量都与具体路径无关,即不管是通过什么路径使得体积变化为Δ
It's going to take place in there. It's going to be a constant pressure, it might be open to the air, or even if it isn't, there might be plenty of room, and it's a liquid anyway, so the pressure isn't going to change significantly.
也许它是液体,它在这个位置,这是恒压的,它也许是连通大气的,就算不是,它也有,足够的空间,而它是液体,压强不会显著地改变。
it's zero. Delta H1 is zero, right.
处于恒压下,它是零。
Could be done, but easier is to just do the whole thing at constant volume, right, and just run the reaction that way and redo the calculation to be a constant volume rather than constant pressure calorimeter, right.
可以进行测量,但是如果在体积恒定的条件下,做这些会容易得多,还是这样进行反应,但是在等体而不是恒压条件下重新计算。
Let's label that two. It's still at constant pressure.
我们把这个标为II,它仍然是在恒压下。
We already did that. OK, dH/dT constant pressure is Cp. That was easy one.
我们已经做过这个计算了,好的,在恒压,状态下的偏H偏T就是Cp,这个很简单。
Adiabatic q equal to zero. It's also delta H 0 which is zero. The two didn't necessarily follow because remember, delta H is dq so p is only true for a reversible constant pressure process.
在这个过程中ΔH等于,绝热的所以q等于0,而ΔH也等于,这两个也不一定有因果关系,因为,记住,ΔH等于dq只有在恒压。
Over here, we have dq=Cp dT, the heat, the proportionality between heat - and temperature rise is given by this, the constant pressure heat capacity.
这里我有dq=CpdT,这是热量,这是联系热量,和温度变化的系数,恒压热容。
dT That means that dH is also equal to dH/dT, constant pressure dT. All right, so now I've T ot more dH/dT under constant pressure.
也等于偏H偏T恒压乘以,现在我已经得到了在恒压,状态下的偏H偏。
The constraint isn't constant temperature because the temperature is going to be changing.
是在不停变化的,不是恒压,因为我们已经有Δp了。
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。
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