题目内容
(9分)如图所示,有一玻璃管长L=100cm,内有一段水银柱h=20cm,封闭着长a=50cm长的空气柱,此时温度t1=27oC,大气压恒为p0=76cmHg,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241246330251503.gif)
求:
(1)求当对气体加热使水银柱升到与管口平齐时,气体温度为多少?
(2)求空气柱温度至少多大时,可使管中水银全部溢出?
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241246330251503.gif)
求:
(1)求当对气体加热使水银柱升到与管口平齐时,气体温度为多少?
(2)求空气柱温度至少多大时,可使管中水银全部溢出?
(1)T2=480K(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824124633072431.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824124633072431.gif)
共9分)
(1)水银柱上升到管口为等压膨胀,温度由300K上升到480K;设管口截面积为S
V1=aS=50S,T1=300K;
V2=(L-h)S=80S,T2=?
由:盖吕萨克定律:
得:T2=480K 3分
(2)初态:p1==p0+h=96cmHg,V1=aS=50S,T1=300K;
假定管中还有x厘米高水银柱时,管内气压为(p0+x)cmHg,体积为(L-x)S,则
, 4分
得:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824124633150688.gif)
显然,
cm时,温度最高
(=2110C); 2分
(1)水银柱上升到管口为等压膨胀,温度由300K上升到480K;设管口截面积为S
V1=aS=50S,T1=300K;
V2=(L-h)S=80S,T2=?
由:盖吕萨克定律:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824124633087373.gif)
(2)初态:p1==p0+h=96cmHg,V1=aS=50S,T1=300K;
假定管中还有x厘米高水银柱时,管内气压为(p0+x)cmHg,体积为(L-x)S,则
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824124633103985.gif)
得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824124633150688.gif)
显然,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824124633150246.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824124633072431.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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