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Question
CBSEENCH12005813

Show graphically how the vapour pressure of a solvent and a solution in it of a non-volatile solute change with temperature. Show on this graph the boiling points of the solvent and the solution. Which is higher and why?

Solution

Answer:

Elevation of boiling point with addition of non-volatile solute vapour pressure decrese and hence boiling point increase.

Let Tb0 be the boiling point of pure solvent and
Tb be the boiling point of solution. The increase in
the boiling point  Tb = Tb - Tb0  is known as
elevation of boiling point.

for dilute
solutions the elevation of boiling point (ΔTb) is
directly proportional to the molal concentration of
the solute in a solution. Thus

     ΔTb ∝ m 
or
   ΔTb = Kb m

Here m (molality) is the number of moles of solute dissolved in 1 kg of solvent and the constant of proportionality, Kb is called Boiling Point Elevation Constant or Molal Elevation Constant. The unit of Kb is K kg mol-1.If w2 gram of solute of molar mass Mis dissolved in w1 gram of solvent, then molality, m of the solution is given by the expression:

m = 1000 × w2M2 ×w1putting the value of molality in Tb = Kbmwe get Tb = kb × 1000×w2M2×w1


Thus, in order to determine M2, molar mass of the solute, known mass of solute in a known mass of the solvent is taken and ΔTb is
determined experimentally for a known solvent whose Kb value is known.