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So now I've got this gamma placed in there, -1 gamma minus 1, so I've ben feeling a little bit better.
这样我把这里的指数，换成γ,这样看起来舒服一些。
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So now if I look at my V1 over V2 to the gamma minus 1, that's T2 over T1.
于是把^=中2,的两个温度。
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R/Cv OK, so that means that this is really instead of -1 R over Cv. it's really gamma minus one.
现在,变成了γ
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So if I take p times V to the gamma, anywhere on the path, it's going to be equal to the same relation This is going to be true for any point on the path.
结果都，将等于，初态点的,只要在这条路径上。
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So this guy here gets rid of this, and I have my answer as V1 over V2 to =p2/p1 the gamma power is equal to p2 over p1.
这两项抵消掉了，于是等式,变成了^γ
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So if you have a gas of argon atoms, 5/3 you know what gamma is.
于是我们知道，氩气的γ值是。
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All right, so gamma is for ideal gas, 1 is bigger than one.
对理想气体，γ大于。
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T1 Anyway T2 over T1 is equal to V2 over V3 to the power gamma minus one.
总之，T2除以3,等于V2除以V3的伽马减一次方。
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so gamma something bigger than 1 minus 1.
-1大于。
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I'm going to call it gamma.
最终的。
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By definition I'm going to define gamma by Cp over Cv by definition.
把Cp/Cv记作γ,这完全是定义。
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So any point I pick on that path will be equal to p1, V1 to the gamma.
也就是说路径上面任取一个点,计算p，V^γ
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All right, so gamma, the gas is cooling so V2 is going to be less than it what would be if the temperature kept constant.
气体温度下降了,于是V2会比等温过程,降到相同压强时的体积要小。
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V1 to the gamma is equal to p2 V2 to the gamma.
就是，p1，V1^γ,等于p2，V2^γ
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Well let's see, there's a V1 over V2 to the gamma minus 1.
现在来看，这边是V1/V2的γ-1次方。
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