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Question
At 25C, the dissociation constant of a base BOH is 1.0 × 1012. The 
concentration of Hydroxyl ions in 0.01 M aqueous solution of the base 
would be      
Options:
A .  2.0 × 10−6molL−1
B .  1.0 × 10−5molL−1
C .  1.0 × 10−6molL−1
D .  1.0 × 10−7molL−1
E .  None of the options are correct.
Answer: Option D
:
D
BOHB++OH
Initially,
BOH=C, B+ = 0 and OH = 0
At Equilibrium
BOH=CCα, B+ = Cα and OH = Cα
Kb=C2α2C(1α) = Cα2assuming α<<1; 1α 1
1012 = 102×α2; α2 = 1010; α= 105
OH = Cα = 0.01×105=107

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