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OK, this is only true for an ideal gas, and we went through that mathematically where the, with a chain rule.
这一关系只对理想气体成立，上节课我们,用链式法则推导出了这一关系。
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You're allowed Cv comes out here for this adiabatic expansion, which is not a constant volume only because this is always true for an ideal gas.
绝热过程写下,这个式子是因为它对理想气体都成立，并没有用到等容过程的条件,只用了理想气体的条件。
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And he acknowledges here finally that the ideal of virginity is an ideal for which women are typically praised - and of course this goes without saying.
最后他也承认,关于妇女通常被赞美的童贞理想只是空想,当然这是不言而喻的。
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It's a romantic ideal for this writer too.
对作者来说，这也是一种很浪漫的想法。
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This graph shows some of it as well, but in this case for children, in the left hand side you see the ideal composition of the diet according to government recommendations that the diet should be partitioned in this way.
这个图表也揭示了一些类似的事实,不过是在儿童饮食中的情况,在左边你看到的是理想的饮食组合,按照政府的推荐食谱,食物应该这样搭配
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H for an ideal gas is only a function of temperature. This is not true for a real gas fortunately, but it's true for an ideal gas.
不正确的,但是幸运的是,对于理想气体是完全正确的。
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This quantity is exactly zero for an ideal gas and we'll discover why eventually it has to do with what we mean by an ideal gas it turns out.
对理想气体它是零,这点我们接下来会知道是,为什么，这与为什么我们叫它理想气体有关。
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And for the sake of this class, we're going to consider most gases to be ideal gases. Questions?
有问题吗？好，现在，这一方程建立了,三个状态函数之间的联系：
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So this is a very small number and for ideal gases, eta J is equal to zero.
这是一个，很小的数。
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And if that's equal to zero, that means that the Joule-Thomson coefficient for an ideal gas is also equal to zero. We're going to actually prove this later in the course.
说明理想气体的,焦耳-汤姆逊系数也等于0。,详细的证明过程,会在以后的课上给出。
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But this is only true for an ideal gas and it's approximately true for other things.
但这只对,理想气体城里。
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for real gases. This is an equation of state for an ideal gases.
我们需要描述实际气体,的状态方程。
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For the ideal gas it's this.
对理想气体就是这个。
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This is only true for an ideal gas. Since it's true for an ideal gas, then we can go ahead and replace this with Cv, and then we have Cp=Cv+R Cp with Cv plus R, which is what we were after.
常犯的一个错误，这只对理想气体成立,因为对理想气体成立,所以我们可以继续，用Cv代替,这项，最后得到。
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If you have a real gas and you write du is Cv dT and your path is not a constant volume path, then you are making a mistake. But for an ideal gas, you can always write this. And this turns out to be very useful to remember.
对于真实气体，如果其变化过程,不是恒容的，du=Cv*dT就不成立，但对于理想气体,这条规则永远成立,这一点非常有用，请记住。
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