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Q.

A closed vessel contains helium and ozone at a pressure of P atm. The ratio of He and oxygen atoms is 1: 1. If helium is removed from the vessel, the pressure of the system will reduce to : (Assume constant temperature)

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a

0.5 P atm

b

0.25 P atm

c

0.33 P atm

d

0.75 P atm

answer is C.

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Detailed Solution

Let N be the number of atoms of mole He and oxygen 

Mole of He = N

Mole of O3=N3

Total number of moles =N+N3=4N3

Total pressure = P

Hence,

pO3=XO3P=N3P4N3=0.25P

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