0.01~M solution of an acid HA freezes at −0.0205∘C. If Kf for water is 1.86 Kkgmol−1.The ionization constant for the conjugate base of the acid will be (consider molarity ≃ molality):
A
1.1×10−4
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B
1.1×10−3
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C
9×10−11
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D
9×10−12
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Solution
The correct option is C9×10−11 ΔTf=Kf×m=86×0.01=0.0186i=0.02050.0186=1.10=1+α α=0.1 Ka=Cα21−α=19×10−3Kb=9×10−11