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Introduction and Degree of Hydrolysis

In a buffer s...

Question

In a buffer solution, the concentration of $X^{-}$ and HX are equivalent. If $K_{b}$ for $X^{-}$ is $10^{- 10}$ then pH of the solution would be :
(PMT, Rajasthan, 1997)

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Solution

The correct option is C 4
The expression for the pOH of the basic buffer solution is as given below.
$p O H = p K_{b} + l o g \frac{[S a l t]}{[B a s e]}$
$p K_{b} = - l o g K_{b} = - l o g (10^{- 10}) = 10$
Substitute values in the above equation.
$p O H = 10 + l o g \frac{1}{1} = 10$
$p H = 14 - p O H = 14 - 10 = 4$ .

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