Q.
A solution of urea (mol. mass 56gmol−1 ) boils at 100.18∘C at the atmospheric pressure. If kf and kb for water are 1.86 and 0.512Kkgmol−1 respectively, the above solution will freeze at
∵ΔTf=kf× Molality of solution ΔTb=kb× Molality of solution
orΔTbΔTf=kbkf
Given that ΔTb=T2−T1=10018−100=0.18 kf for water =1.86Kkgmol−1 kb for water =0.512Kkgmol−1 ∴018ΔTf=0.5121.86 ΔTf=0.5121.86×018 =0.6539∼0.654 ΔTf=T1−T2 0.654=0∘C−T2 T2=−0.654∘C (T2→ Freezing point of aqueous urea solution)