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To an evacuated vessel with movable pist...

To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mole of He and 1.0 mol of unknown compound (vapour pressure 0.68 atm at `0^(@)`C) are introduced. Considering ideal gas behaviour the total volume (in litre) of the gases at `0^(@)`C is close to:

Text Solution

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The correct Answer is:
7
Let volume of vessel = V L
For the vapour of compound PV = `n_(g) RT`
`0.68 xx V = n_(g) xx 0.082 xx 273 " " …(i)`
Total pressure = External pressure , `1 xx V = (n_(g) + n_(He)) xx 0.082 xx 273 " " …. (ii)`
Dividing eqn. (ii) by eqn. (i) `(1)/(0.68) = (n_(g) + n_(He))/(n_(g))`
`n_(g) =0.68 n_(g) + 0.68 n_(He) = 0.68 n_(g) + 0.68 xx 0.1 , 0.32 n_(g) = 0.068 implies n_(g) = 0.2125`
From eqn.(ii) `V = (0.2125 + 0.1) xx 0.082 xx 273 = 6.99` = 7 L
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