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.

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.,

MARKS App · 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 = n × R × T P V = 0.1 × 0.082 × 273 0.32 = 7 L

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