An aqueous solution containing 12.48g of barium chloride in 1.0kg of water boils at 373.0832K. Calculate the degree of dissociation of barium chloride. (Given Kb for water= 0.52K/m)

According to elevation of boiling point,Tb = Kb × m     = Kb × W2M2 × W1 Tb - elevation of boiling pointKb - molal elevation constantW2 - Weight of the soluteM2 - Molecular mass of the soluteW1 - Weight of the solventTb  = Kb × W2M2 × W1 × 1000    = 0.52 × 12.48208.23× 1     = 0.0312Tb (given) = Tb - Tb0 = 373.0832 - 373 = 0.0832Degree of dissociationα = i-1n -1Where i = Vant Hoff factori = Observed colligative propertyCalculated colligative property  = 0.08320.0312 = 2.67α = 2.67-13 -1   (where n = 3 as BaCl2 dissociates BaCl2  Ba2+ + 2Cl-   = 1.672 = 0.8333   = 0.8333 × 100 = 83.33 %    

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