题目内容
(9分)如图,气缸由两个截面不同的圆筒连接而成,活塞A、B被轻质刚性细杆连接在一起,可无摩擦移动,A、B的质量分别
,
,
,横截面积分别为
,一定质量的理想气体被封闭在两活塞之间,活塞外侧与大气相通,大气
。
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005365064081.jpg)
(l)气缸水平放置达到如图甲所示的平衡状态,求气体的压强。
(2)已知此时气体的体积
。现保持温度不变,将气缸竖直放置,达到平衡后如图乙所示。与图甲相比,活塞在气缸内移动的距离L为多少?取重力加速度
。
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536428674.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536443694.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536459818.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536475810.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536490766.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005365064081.jpg)
(l)气缸水平放置达到如图甲所示的平衡状态,求气体的压强。
(2)已知此时气体的体积
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536521810.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536537677.png)
(1)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536553700.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536553845.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536553700.png)
试题分析:(1)气缸处于甲图所示位置时,设气缸内气体压强为
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536584315.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536599831.png)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536553845.png)
(2)汽缸处于乙图所示位置时,设气缸内气体压强为
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536631372.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250005366461318.png)
设
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536662374.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536677614.png)
由几何关系可得
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536693842.png)
由上述各式解得活塞在气缸内移动距离
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825000536553700.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
练习册系列答案
相关题目