题目内容


如图所示,竖直放置的均匀细U型试管,左侧管长LOA=30cm,右管足够长且管口开口,初始时左管内被水银封闭的空气柱长20cm,气体温度为27°C,左右两管水银面等高.已知大气压强为p0=75cmHg.现对左侧封闭气体加热,直至两侧水银面形成10cm长的高度差.则此时气体的温度为多少摄氏度?                                       

                                                                                                   

                                                                                                                                 


解:加热后左管的压强:p2=p0+ρgh=85cmHg

加热后左管内气体的高度:L2=L1+=25cm

以左管内气体为研究对象,初状态:P1=75cmHg,V1=20S,T1=300K

末状态:P2=85cmHg,V2=25S,T2=?

从状态1到状态2由理想气体状态方程:=

代入数据:=

得T2=425K 

即t2=152℃

答:现对左侧封闭气体加热,直至两侧水银面形成10cm长的高度差.则此时气体的温度为152℃.


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