What would be the final pressure of O2 in the following experiment? A collapsed polythene bag of 30 litre capacity is partially blown up by the addition of 10 litre of N2 at 0.965 atm at 298 K. Subsequently,  enough O2  is pumped into bag so that at 298 K and external pressure of 0.990 atm, the bag contains full 30 litre.

1. 0.67 atm
2. 0.52 atm
3. 85 atm
4. 20 atm

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Concept Questions :-

Ideal Gas Law
Pressure of N2 = 0.965 atm
Volume of N2 = 10 litre
Temperature of N2 = 298 K
For N2 when bag is fully expanded ,
Volume of N2(alone) = 30 litre at 298 K
P1V1=P2V2
0.965×10=P2×30$⇒0.965×10={P}_{2}×30$
PN2 (alone) in 30 litre bag at 298 K = 0.322 atm
Now
PM=PO2+PN
0.990=PO2+0.322$⇒0.990={P}_{{O}_{2}}+0.322$
PO2= 0.668 atm

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