Q.

A vessel of volume ‘V’ contains an ideal gas at a pressure ‘P0 ’. The gas being removed from the vessel by means of piston pump with single stroke  by volume V4  . The pressure of the gas inside the vessel after 3rd stroke of the piston is

Moderate

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a

P03

b

64P0125

c

27P064

d

8P027

answer is 2.

(Detailed Solution Below)

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Detailed Solution

Applying Boyle’s LawPoV=P1V+V4P1=Po×45P1V=P2V+V4P1=5P24P2=4P15=454Po5=16Po25After 3rd stroke 64Po125
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