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a gas is enclosed in a vessel of volume V at a pressure P.it is being pumped out of the vessel by means of a piston pump witha stroke volume V/100 . What is the final pressure in the vessel after n strokes of the pump ?
Assume no change in temperature during pumping out of gas .
Dear Ankit
PV=NRT
N is the number of molecile of gas initially
given T=constant
V is also constant
so
P/N =constant
after one stroke molecules of gas remain in cylender is N(1-1/100)
after 2 stroke molecules of gas remain in cylender is N(1-1/100)2
after n stroke molecules of gas remain in cylender is N(1-1/100)n
so P/N =P'/N(1-1/100)n
or P'=P(1-1/100)n
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