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In this case here, our property is the value of the pressure times the volume, times the molar volume. That's the property.
或者电阻,对气体来说，它的特性是气体压强。
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The molar volume is being changed a little bit trying to make things collide with each other, they can't occupy the same volume.
摩尔体积发生了很小的改变,如果你试图使气体分子间相互碰撞，他们不能占据同一个位置。
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So, you do this measurement, you measure with the gas, you measure the pressure and the molar volume.
现在让压强趋于，现在测量气体的压强，和摩尔体积。
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So I can make a quantity that I'll call V bar, which is the molar volume, the volume of one mole of a component in my system, and that becomes an intensive quantity.
所以我可以定义，一个叫做一横的量，这是摩尔体积系统中,一摩尔某种组分的体积，它就变成了。
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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。
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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。
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The property is the limit as p goes to zero of pressure times molar volume.
与摩尔体积的乘积,在气体压强p趋于0时的极限。
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So it's RT over molar volume minus b.
等于RT除以摩尔体积减去b的差。
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Equals a over molar volume squared.
等于a除以摩尔体积的平方。
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a over the molar volume squared.
等于a除以摩尔体积V杠的平方。
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