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Question

Chemistry Question on Solutions

An aqueous solution of an electrolyte AB has b.pt.of 101.08^\circC. The solute is 100% ionised at b.pt.of water. The f.pt. of the same solution is 180C.AB(KbI/Kf=0.3)-1 -80 ^\circ C. AB (K_bI/K_f = 0.3)

A

is 100% ionised at f.pt. of solution

B

is 50% ionised at f.pt. of solution

C

behaves as a non-electrolyte at f.pt. of solution

D

forms a dimer at f.pt. of solution

Answer

behaves as a non-electrolyte at f.pt. of solution

Explanation

Solution

ΔTb=1.08K,ΔTf=1.80K\Delta T_b = 1.08 \, K , \Delta T_f = 1.80 \, K ΔTbΔTf=i.KbmKf.m\frac{\Delta T_b}{\Delta T_f} = \frac{i. K_bm}{K_f . m} ΔTbΔTf=ii(KbKf)\frac{\Delta T_b}{\Delta T_f} = \frac{i}{i'} \left(\frac{K_b}{K_f} \right) ii' = van't-Hoff factor at f.p.t of solution Here ii (at b.pt.) = 2 1.081.08=2i(0.3)\frac{1.08}{1.08} = \frac{2}{i'} (0.3) i=2×0.3×1.801.08i ' = \frac{2 \times 0.3 \times 1.80}{1.08 } = 1 Th is, solute is unionised at f.ptf.pt. of solution i.e.i.e., behaves as a non-electrolyte