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Question

What would be the pressure (in atm as nearest integer) of O2 in the following experiment?
A collapsed 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 the bag, so that at 298 K and external pressure of 0.990 atm, the bag contains full 30 litre.

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Solution

Initial condition, PN2=0.965 atm,V=10 litre,T=298 K

Now O2 is introduced to expand the bag fully to 30 litre,N2 also occupy 30 litre at 298 K.

For N2 alone new pressure is to be calculated by:

P1V1=P2V2

0.965×10=PN2×30

PN2=0.322 atm (at 30 litre volume)

PO2=PTPN2=0.9900.32=0.668 atm

So nearest integer is 1 atm.


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