JEE Main & Advanced Chemistry Solutions / विलयन Question Bank Depression of freezing point of the solvent

  • question_answer
    What is the freezing point of a solution containing \[8.1\,g\,HBr\] in \[100g\] water assuming the acid to be 90% ionised \[({{K}_{f}}\] for water \[=1.86\,K\,mol{{e}^{-1}})\]                 [BHU 1981; Pb CET 2004]

    A)                 \[{{0.85}^{o}}C\]             

    B)                 \[-{{3.53}^{o}}C\]

    C)                 \[{{0}^{o}}C\]   

    D)                 \[-{{0.35}^{o}}C\]

    Correct Answer: B

    Solution :

             \[\underset{(1-\alpha )}{\mathop{HBr}}\,\] ⇌ \[\underset{\alpha }{\mathop{{{H}^{+}}}}\,+\underset{\alpha }{\mathop{B{{r}^{-}}}}\,\]            Total = 1 + a     \ \[i=1+\alpha =1+0.9=1.9\]                  \[\Delta {{T}_{f}}=i\,{{K}_{f}}\times m=1.9\times 1.86\times \frac{8.1}{81}\times \frac{1000}{100}={{3.53}^{o}}C\]                                 \[{{T}_{f}}=-{{3.53}^{o}}C\].


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