But we've defined the enthalpy of those elements in their stable state at room temperature and pressure as zero, right?
但我们已经定义了这些,元素处于它们室温和常压下,最稳定的状态时的焓为零,对吧?
And that's consistent with other things that we've seen, Remember the whole thing about the perfect crystal at zero degrees Kelvin has zero entropy It's completely ordered.
这和我们看到的其他东西自洽吗?,想想零摄氏度下的,完美晶体的熵为零,这是完全有序的。
So that should make sense, because we saw no energy difference between the actual atoms and the molecules.
这很好理解,因为我们看到,原子和分子的能量差为零。
First of all, happiness is a positive sum game-- it's not a zero sum game.
首先,快乐是正和游戏-,不是零和游戏。
We've already talked about how security selection is a zero-sum game.
我们已经讨论过,证券选择是个零和博弈
In the language, if I can switch to the language of modern economics, one could say that for Thrasymachus politics is a zero-sum game.
换个领域的词汇,让我用现代经济学的话来说,这可能将,Thrasymachus,式的政治,喻成一场零和游戏。
So, you remember from last time radial nodes are values of r at which the wave function and wave function squared are zero, so the difference is now we're just talking about the angular part of the wave function.
你们记得上次说径向节点在,波函数和波函数的平方,等于零的r的处,现在的区别是我们讨论的是,角向波函数。
SdT This has minus T dS minus S dT, but the dT part is zero because we're at constant temperature.
这一项包含负的Tds和,但是dT的部分等于零,因为温度为常数。
We discovered that the quantity dA, under conditions of constant volume and temperature, dA TS And A is u minus TS.
我们发现在恒定的体积和温度下,亥姆赫兹自由能的变化,小于零,is,less,than,zero。,亥姆赫兹自由能A等于内能u减去。
It's not even a zero-- or rather if I have less, you'll have less- that's a negative sum game-- or a zero sum game-- if I have more, you'll have less- it's a fixed pie.
甚至不是一个零…,或者我更少,你也会更少,那也是负和游戏-,或零和游戏,我更多,你就会更少-,饼就那么大。
So dS for u and V fixed is greater than zero.
所以当内能u和体积V固定时,dS大于零。
That's the some of delta u in these two paths and if we look at delta u in just path A, it's zero.
这是这两条路径△U的和,如果我们要看路径A的△U,它也是零。
du=0 So du is equal to zero because dq and dw are both zero.
因此,因为dq和dw都等于零。
H We also saw that dS for constant H and p was greater than zero.
我们同样可以看到如果保持自由焓,和压强不变熵的变化dS也是大于零的。
If security selection is a zero-sum game, the amount by which the winner wins equals the amount by which the loser loses -winners and losers being defined by performance after a security selection that has been made -well, that sounds like a zero-sum game.
如果证券选择是一个零和博弈,赢方赚得的金额,等于输方赔付的金额,谁赢谁输取决于,双方投资在证券选择后的表现,这听起来确实像个零和博弈
U It's u, because u is to q plus w right, heat and work, but it's adiabatic. So there's no heat, exchange with the environment, and it's constant volume, so there's no p dV work, right.
什么是零?是U,因为,等于q加w,热量和功,但这是绝热的,所以系统与环境间没有热量交换;,同时它是灯体的,所以也没有pdV形式的功。
du/dV under constant temperature was equal to zero for an ideal gas. And by analogy, we expect the same thing to be true here, because enthalpy and energy have all this analogy going on here. So let's look at an ideal gas.
偏U偏V在恒温下等于零,可以类比,我们希望在这里也一样,因为焓和能量有很强的类比性,让我们看看理想气体,【理想气体】
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