To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mole of He and 1.0 mole of an unknown compound (vapour pressure 0.68 atm at 0 ο C ) are introduced. Considering ideal g

Question

To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mole of He and 1.0 mole of an unknown compound (vapour pressure 0.68 atm at 0 ο C ) are introduced. Considering ideal gas behaviour, the total volume (in L) of the gas at 0 ο C is close to x L at equilibrium. Calculate the value of x.

TestHub · Accepted Answer

If external pressure is 1 atm the pressure inside the cylinder will also be equal to 1 atm.
The pressure generated by unknown compound will be fixed and equal to $0.68$ atm, so the pressure generated by He will be $1 - 0.68 = 0.32$ atm
Now by: $V = \frac{n \times R \times T}{P}$
$V = \frac{0.1 \times 0.082 \times 273}{0.32} = 7 L$

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