MCQ
In a buffer solution containing equal concentration of $B^-$ and $HB,$ the $K_b$ for $B^-$ is $10^{-10}.$ The $pH$ of buffer solution is
  • A
    $10$
  • B
    $7$
  • C
    $6$
  • $4$

Answer

Correct option: D.
$4$
d
$ (i)$ For basic buffer,

$p O H=p K_{b}+\log \frac{[\text { salt }]}{\text { loase }}$

$p H+p O H=14$

$K_{b}=1 \times 10^{-10},[\text { salt }]=[b a s e]$

$p O H=-\log K_{b}+\log \frac{[\text {salt}]}{[b a s e]}$

$\therefore \quad p O H=-\log \left(1 \times 10^{-10}\right)+\log 1=10$

$p H+p O H=14$$\left[\because \text { concentration of }\left[B^{-}\right]=[H B]\right.$

$p H=14-10=4$

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