题目内容
.对于一定质量的理想气体,有两个状态A(p1,V1)、B(p2,V2),如图所示.它们对应的温度分别为T1、T2.且T1≠T2,图中的曲线为等温线.请你利用理想气体实验定律证明:
,要求在图上标出与证明过程相应的状态变化图线. ![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241159521023098.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115952071616.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241159521023098.jpg)
P1V1/T1= P2 V2/T2
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241159521346411.jpg)
由状态A到状态C遵循玻意耳定律
P1V1 = P2V3------------------------------------------------①
由状态C到状态B遵循盖-吕萨克定律
V3/T1=V2/T2------------------------------------------------②
①式除以T1与②式乘以P2联立得
P1V1/T1= P2 V2/T2
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241159521346411.jpg)
P1V1 = P2V3------------------------------------------------①
由状态C到状态B遵循盖-吕萨克定律
V3/T1=V2/T2------------------------------------------------②
①式除以T1与②式乘以P2联立得
P1V1/T1= P2 V2/T2
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241159521346411.jpg)
![](http://thumb2018.1010pic.com/images/loading.gif)
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