MCQ
What is the $pH$ of a solution prepared by mixing $20\, ml$. of $0.250\, M$ sodium formate  with $30\, mL$ of $0.100\, M \,HCl\, (pK_a$ for $HCOOH = 3.75)$ :-
  • $3.57$
  • B
    $4.18$
  • C
    $5.22$
  • D
    None

Answer

Correct option: A.
$3.57$
a
                 $\mathrm{HCOONa}+\mathrm{HCl} \rightarrow \mathrm{HCOOH}+\mathrm{NaCl}$

$t=0$    $0.25\times 20\,ml$   $0.1\times 30\,ml$   $0$           $0$

              $=5$ milli-mole    $=3$ milli-mole

End          $2$ milli-mole      $0$       $3$ milli-mole    $3$ milli-mole

${\text{pH}} = {\text{p}}{{\text{K}}_{\text{a}}} + \log \frac{{[{\text{HCOONa}}]}}{{[{\text{HCOOH}}]}}$

$ = 3.75 + \log \frac{{(2/50\,{\text{ml}})}}{{(3/50\,{\text{ml}})}} = 3.57$

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