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A glucose solution which boils at 101.04°C at 1 atm. What will be relative lowering of vapour pressure of an aqueous solution of urea which is equimolal to given glucose solution? (Given: Kb for water is 0.52 K kg mol-1 )

Answer»

ΔTb = Kb m ΔTb = 101.04 - 100 = 1.04 o

or m= \(\frac{1.04}{0.52}\) = 2 m 

2 m solution means 2 moles of solute in 1 kg of solvent. 

2 m aq solution of urea means 2 moles of urea in 1kg of water. 

No. of moles of water = \(\frac{1000}{18}\) = 55.5 

Relative lowering of VP = x2 (where x2 is mole fraction of solute)

Relative lowering of VP = \(\frac{n_2}{n_1}+n_2\) (n2 is no. of moles of solute , n1 is no. of moles of solvent) 

= \(\frac{2}{2}\)+55.5 = \(\frac{2}{57.7}\) = 0.034



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