Now, if this is an ideal gas, we know that pressure is equal to nRT over volume.
如果这是一个理想气体系统,我们知道压强等于nRT除以体积。
So if we take this term, which is a volume term, and multiply it by probability over volume, what we're going to end up with is an actual probability of finding our electron at that distance, r, from the nucleus.
如果我们取这项,也就是体积项然后,乘以概率除以体积,我们能得到的就是真正在距离,原子核r处找到电子的概率。
Barth wrote a famous essay just the year before these stories came out all in one volume. They had been written over a series of years, got a lot of exposure--called "The Literature of Exhaustion."
在写完这一卷故事的前一年,巴斯写了一篇著名的论文,在60年代,叫《枯竭的文学》
OK, now we actually would like to simplify this or to write this in terms of not the volume change, v2/v1 but the pressure change. So, we have V2 over V1.
接下来我们将要把问题简化,不用体积变化来描述,而改作用压强变化来描述,现在我们有。
Ah, but density is mass over volume.
但密度是质量除以体积
And then we can take the derivative with respect to temperature, it's just R over molar volume minus b.
这样我们求,压强对温度的偏导数,结果等于R除以摩尔体积V杠减去b的差。
b It's RT over molar volume minus b minus a over molar volume V squared.
它等于RT除以摩尔体积V杠减去,再减去a除以摩尔体积的V杠平方。
T So we know that T dS/dT at constant volume is Cv over T, T and dS/dT at constant pressure is Cp, over T.
在恒定压强下定压比热容Cp乘以dT除以,所以在恒定体积下dS/dT等于Cv除以,在恒定压强下dS/dT等于Cp除以。
So it's RT over molar volume minus b.
等于RT除以摩尔体积减去b的差。
Equals a over molar volume squared.
等于a除以摩尔体积的平方。
a over the molar volume squared.
等于a除以摩尔体积V杠的平方。
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