MCQ
What is the $pH$ of a $10^{-4}\, M\,OH^-$ solution at $330\,K$, if $K_w$ at $330\,K$ is $10^{-13.6}$ ?
  • A
    $4$
  • B
    $9$
  • C
    $10$
  • $9.6$

Answer

Correct option: D.
$9.6$
d
Given at $330\,K$

${K_w} = {10^{ - 13.6}}$

i.e. $p{K_w} = pH + pOH$

$\because \,pOH =  - \log [O{H^ - }]$

$13.6 = pH + pOH$

$pOH =  - \log \,{10^{ - 4}}$

$13.6 = pH + 4$

$\therefore \,pH = 13.6 - 4$

                $ = 9.6$

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