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Question

An aqueous solution of BaCl2 (1.28gm in 100gm of water)boils at 100.0832 at 1 atm. Calculate the degree of dissociation. ( Kb of water is 0.512 k/m)


A

0.5

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B

0.75

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C

0.85

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D

0.6

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Solution

The correct option is C

0.85


No. of moles of BaCl2=1.28208.34
=0.006 moles
molality=0.006×1000100=0.06 moles
Tb=iKbmTbKbm=i0.0830.512×0.06=ii=2.7
Now consider the dissociation of BaCl2
BaCl2 Ba + 2ClInitial: C 0 0final: C(1α) cα 2Cα
i=C(1α)+Cα+2CαC=1+2αi=1+2α2.7=1+2αα=0.85


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