pV=RT p plus a over v bar squared times v bar minus b equals r t. All right if you take a equal to zero, these are the two parameters, a and b. If you take those two equal to zero you have p v is equal to r t.
我们就回到,也就是理想气体,状态方程,下面我们来看看,这个方程。
As p goes to zero of p times v bar.
适用于任何气体。
Normally I couldn't do that Vdp because this term would have p dV plus V dp, but we've specified the pressure is constant, so the dp part is zero.
一般情况下我不能这么写,因为这一项会包含pdV和,但是我们已经假定压强为常数,所以包含dp的部分等于零。
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。
So we immediately get du at constant S and V is less than zero.
这样我们马上就得到以下结论:,在等熵,等容条件下dU必须小于零。
I'm pressing on the gas. So I expect that to be a positive number. The pressure is constant 0 p. The V goes from V1 to zero.
我们对气体加压,所以这应该是一个正数,压强是常数,p,V从V1变成。
And so now we have this quantity, p times v bar, and the limit of p goes to zero is equal to a constant times the temperature.
不仅仅对氢气或氮气适用,在p趋于0的极限下,它适用于任何气体。
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