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
Volume of gas inside the vessel V1=length of gas columnarea.
Given length of gas column=20cm=0.2m
After evacuation, pressure of chamber will be zero. So, pressure inside vessel after evacuation P2 will just be pressure due to piston.
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,
The length of the gas column after evacuation =2.2m
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