The vapour pressure over an aqueous solution (p)
containing non-volatile solute varies with the mole fraction of the non volatile solute (x 2 ) as follows
p(in torr) = 360 – 100 x 2 – 500 × x 2 2 .
The given solution contain 180 gm water and 0.1 mole solute.
(i) What is the vapour pressure over the solution when x 2 = 0.1 ?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)
Sol. p = 360 – 10 – 500 × 0.01 = 360 – 10 – 5
= 345 torr
(ii)
Sol. Relative lowering of vap. press =
=
=
= 
(iii)
Sol. As per Raoult's law x 2 = 1, p = 0 and x 2 =0, p =
360
∴ pº – p = x 2 pº
or p = pº – x 2 pº = 360 – 0.1 × 360 = 324
∴
=
=
=
.
(iv)
Sol. p = 360 – 100 x 2 – 500 x 2 2
p = pº – 360 x 2
∴ pº – 360 x 2 = pº – 100 x 2 – 500 x 2 2 or – 260 x 2 = – 500 x 2
2 or x 2 =
= 0.72
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