题目内容
如图所示,A、B两个气缸中装有压强均为1 atm(标准大气压)、温度均为27℃的空气,中间用细管连接,细管容积不计,管中有一绝热活塞(不计摩擦,可自由移动)。开始时气缸A左端的活塞距离其右端底部为L。现保持气缸A中的气体温度不变,将活塞向右缓慢推进L/4,若要使细管中的绝热活塞仍停在原位置,则气缸B中的气体温度应升高到多少摄氏度?
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250011186143225.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250011186143225.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001118630508.png)
试题分析: 设气缸截面为
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001118646258.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001118692749.png)
对气缸B内的气体,由等容过程得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001118708651.png)
据题意有:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001118724514.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001118755471.png)
联立解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001118770861.png)
则
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250011187861000.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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