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To an evacuated vessel with movable pist...

To an evacuated vessel with movable piston under external pressure of of He and of an unknown compound (vapour pressure 0.68 atm at `0^(@)`C) are introduced. Considering the ideal behaviour, the volume (in litre) of the gases at `0^(@)`C is close to:

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The correct Answer is:
7

Since, the external pressure is 1.0 atm, the gas pressure is also 1.0 atm as piston is movable. Out of this 1.0 atm partial pressure due to unknown compound is 0.68 atm.
Therefore, partial pressure of He `= 1.00 - 0.68 = 0.32` atm
`rArr` Volume = `= (n(He)RT)/(p(He)) = (0.1 xx 0.082 xx 273)/(0.32) = 7L rArr` Volume of container = volume of He.
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