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We're not going to have the constant pressure heat capacity, we're going to have the constant volume heat capacity, right.
这里出现的,不是等压热容,而是等体热容。
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So, we do an integral over a path, dT for the heat capacity along that path, dT.
因此，我们沿着路径做一个积分，热容。
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It's related to the heat capacity, the constant volume of heat capacity and something you could measure.
它联系了热能，恒容热容和一些,我们能够测量的物理量。
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So now I have my first of my two slopes, in terms of something that's related to my system the heat capacity of the system.
好，我们现在得到了，两个微分式中的一个,它等于与系统密切相关的一个量。
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You calculate how much heat is released in the reaction. And then what's going to matter is what's the heat capacity of the whole, of the calorimeter?
就是计算在反应中,放出了多少热量,接下来关键的是,整个量热计的热容是多少？
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I didn't even need to know that heat capacity of the product, right. Because it's effect the thermal mass of the product is negligible compared to the thermal mass of the calorimeter.
我甚至不需要知道生成物的,热容是多少，因为生成物的,热质量的作用相比于,量热计的热质量是可以忽略的。
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And it's for that whole unit that you've got some heat capacity. How much heat does it take the warm the entire thing up or the insides of the thing up by a degree? It's that number right.
由这个单位你能知道,一些热容的信息，要让这整个装置,或里面放置的东西,升温一度需要多少热量？
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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。
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So, let's talk about heat capacity.
好的，让给我们来讨论热容。
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for instance, for the thermos with the coffee in if you place the boundary in the inside wall of the glass or the outside wall of the glass and the inside of the thermos, that makes a difference; different heat capacity, etcetera.
比如说，对于装咖啡的热水瓶来说,你把边界设置在瓶胆的内壁上,或者设置在瓶胆外壁上,或设在热水瓶里面，情况都是不一样的;,有不同的热容等等。
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This one turns out to be the heat capacity, and this one turns out to be something that we measure in the Joule-free expansion.
其实，这就是热容，这是焦耳自由膨胀实验中,我们要测量的物理量。
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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：
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We have discovered that this partial derivative that appears in the definition, the abstract definition of the differential for internal energy, is just equal to the constant volume heat capacity.
我们还发现,这个偏微分出现在了，内能的偏微分,定义式中，它也就是热容。
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Today we're going to talk about heat capacity.
今天我们将要讨论热容的概念。
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Heat capacity depends on path.
热容是与路径有关的。
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We can measure the heat capacity at constant volume, and now we have another term, and if we can figure out how to measure it, we'll have a complete form for this differential du which will enable us to calculate du for any process.
我们能够测量恒定体积下的热容，这里我们有另一项，如果能够知道怎么测量它，问我们就有了这个完整的微分式,就能够对任何过程计算。
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It's just how much heat is involved when we change the temperature. Now, the products have some heat capacity associated with them right, it takes a certain amount of heat if we make their temperature change, to either put it in or take it away, depending on which direction the temperature is changing.
问题就是当我们改变温度时,有多少热量发生了转移,生成物具有一定的热容,如果我们改变,它们的温度，就要输入或,提取一定的热量,这取决于温度改变的方向。
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Cp And delta T is given by the heat, which has to do with how much of the candle burnt, divided by the constant pressure heat capacity.
T等于热量q除以恒定的等压热容，其中热量与，蜡烛燃烧的多少相关。
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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。
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And that generally is just given by the heat capacity the calorimeter times delta T, right.. Because the heat capacity of the calorimeter just like this thing is not strongly temperature dependent, OK.
一般它就由量热计的热容,乘以ΔT给出，因为，量热计的热容,就像这张桌子一样,并不强烈依赖于温度。
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