question_answer

At \[{{25}^{o}}C,\] the dissociation constant of a base, BOH, is \[1.0\times {{10}^{-12}}\]. The concentration of hydroxyl ions in 0.01 M aqueous solution of the base would be:                                                         [AIPMT (S) 2005]

A)  \[2.0\times {{10}^{-6}}\,mol\,{{L}^{-1}}\]     

B)  \[1.0\times {{10}^{-5}}\,mol\,{{L}^{-1}}\]

C)  \[1.0\times {{10}^{-6}}\,mol\,{{L}^{-1}}\]

D)       \[1.0\times {{10}^{-7}}\,mol\,{{L}^{-1}}\]

Correct Answer: D

Solution :

Base BOH is dissociate das follows

So, the dissociation constant of BOH base

At equilibrium

Given that  and

Thus