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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