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如果我们计算气体混合过程中熵的变化，我们会发现这个量是正的。

If we calculate the change in entropy during gas mixing, we will find that this quantity is positive.

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这些的基本原因都是熵的混合。

And it's all driven by entropy of mixing.

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These two relations involving entropy are also useful because they'll let us see how entropy depends on volume and pressure.

这两个涉及熵的关系也非常有用,因为他们告诉我们,熵和体积，压强的关系。

麻省理工公开课 - 热力学与动力学课程节选

So, and of course, you know, keeping entropy as a fixed variable for a system like that is extremely cumbersome.

所以，对这样的系统要求它们的熵保持恒定,和一个非常笨拙做法。

麻省理工公开课 - 热力学与动力学课程节选

When we have an isolated system, the criterion that determineswhether something happens spontaneously is the entropy has to increase.

对于孤立系统,决定一个过程是否自发发生的判据为：,熵必须增加。

麻省理工公开课 - 热力学与动力学课程节选