MCQ
What will be the resultant $pH$ when $100\,ml$ of an aqueous solution of $HCl\, (pH = 2)$ is mixed with $200\,ml$ of an aqueous solution of $NaOH$ $(pH = 12)$
  • A
    $2.52$
  • $11.52$
  • C
    $3.30$
  • D
    $4$

Answer

Correct option: B.
$11.52$
b
$\mathrm{pH}$ of $\mathrm{HCl}=2$

$\therefore\left[\mathrm{H}^{+}\right]=10^{-2} \,\mathrm{M}$

$\mathrm{pH}$ of $\mathrm{NaOH}=12$

$\therefore\left[\mathrm{OH}^{-}\right]= 10^{-2} \,\mathrm{M}$

$\mathrm{HCl}+\mathrm{NaOH} \longrightarrow \mathrm{NaCl}+\mathrm{H}_{2} \mathrm{O}$

Initial mili mol 

                       $100\times10^{-2}$      $200\times10^{-2}$

                             $1$          $2$           $0$         $0$

Final mili mol     $0$          $1$           $1$        $1$

$[\mathrm{OH}]$ from $\mathrm{NaOH}=\frac{1}{300}=3 \times 10^{-3}$

$\mathrm{pOH} =-\log \left[\mathrm{OH}^{-}\right]=-\log \left[3 \times 10^{-3}\right]$

$=-\log \left[3 \times 10^{-3}\right]$

$=-[0.4771-3]$

$=2.52$

$\mathrm{pH}=14 -2.52=11.48$

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