Helium balloon at a pressure, Chemistry

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A 10L helium balloon at a pressure of two bar at 27C. Some O₂is now inside in balloon and final volume is made 30L. the pressure also fell to 1 bar at similar temperature. the partial pressure of O₂ at end is?

Solution) For helium.

n(He)=P(1)V(1)/RT.
for oxygen n(O)=P(2)V(2)/RT

partial pressure of O2= (mole fraction of O2).(Total pressure)

= [ P(2).V(2) / P(2).V(2) + P(1).V(1) ].(1)
= 1.30 / 1.30 + 2.10
=30/30+20=3/5 bar
Hence 0.6 bar (ANS)

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