Answer :

Given


Cross sectional area A =10cm2=1010-4m2


mass of piston = 1kg


Pressure inside chamber = 100kPa=105Pa


Pressure due to the weight of the piston =Pp




Pressure of vessel P1=pressure of chamber+ pressure due to piston


P1=105+9.8103


Volume of gas inside the vessel V1=length of gas columnarea.


Given length of gas column=20cm=0.2m


V1=length A


V1=0.21010-4=210-4m3


After evacuation, pressure of chamber will be zero. So, pressure inside vessel after evacuation P2 will just be pressure due to piston.


P2=0+9.8103


Let L be the final length of the gas column


Final volume V2=AL=1010-4L


Since, it is given in question that temperature remains constant, we can apply boyle’s law which states that ‘PV=constant when temperature is constant’.


Applying boyle’s law before and after evacuation,


P1V1=P2V2


(105+9.8103)210-4=9.81031010-4L



The length of the gas column after evacuation =2.2m


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