MCQ
$0.1\, M$ formic acid solution is titrated against $0.1 \,M \,NaOH$ solution. What would  be the difference in $pH$ between $1/5$ and $4/5$ stages of neutralization of acid ?
  • A
    $2 \log \,3/4$
  • B
    $2 \log\, 1/5$
  • C
    $\log\, 1/3$
  • $2 \log \,4$

Answer

Correct option: D.
$2 \log \,4$
d
When acetic acid is titrated with NaOH it will behaave as Buffer solution.

We know in case of acidic buffer $\mathrm{pH}=\mathrm{pK}_{\mathrm{a}}+\log \frac{[\mathrm{Salt}]}{[\mathrm{Acid}]}$

$\mathrm{pK}_{\mathrm{a}}$ of acetic acid $=4.77$

In case of $\frac{1}{5}$ th Titration $-$

$[$ Salt $]=\frac{x}{5}$

[Acid $]=\frac{4 x}{5}$

$\mathrm{pH}_{1}=4.77+\log \frac{1}{4}$

In case of $\frac{4}{5}$ th Titration -

$\mathrm{pH}_{2}=4.77+\log \frac{4}{1}$

Difference in $\mathrm{pH}=2 \log 4$

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Similar questions

$\underset{(A)}{\mathop{\begin{matrix}
   \,\,\,\,\,Ph\,\,\,\,C{{H}_{3}}  \\
   |\,\,\,\,\,\,\,\,\,\,|\,\,  \\
   Ph-C-C-C{{H}_{3}}  \\
   |\,\,\,\,\,\,\,\,\,\,|\,\,\,  \\
   \,OH\,\,\,OH  \\
\end{matrix}}}\,+\underset{(B)}{\mathop{\begin{matrix}
   \,\,\,\,Ph\,\,\,Et  \\
   \,\,|\,\,\,\,\,\,\,\,\,|  \\
   Ph-C-C-Et  \\
   \,\,|\,\,\,\,\,\,\,\,\,|  \\
   \,\,\,\,\,OH\,\,OH  \\
\end{matrix}}}\,\xrightarrow{{{H}_{2}}S{{O}_{4}}}$

 

$(p)$ $\begin{matrix}
   Ph\,\,\,\,\,O\,  \\
   |\,\,\,\,\,\,\,\,||\,\,  \\
   Ph-C-C-C{{H}_{3}}  \\
   |\,\,\,\,\,\,\,\,\,\,\,\,  \\
   C{{H}_{3}}\,\,\,\,\,\,\,\,  \\
\end{matrix}$                                $(q)$ $\begin{matrix}
   \,Ph\,\,\,\,\,O\,  \\
   \,\,|\,\,\,\,\,\,\,\,||  \\
   Ph-C-C-Et  \\
   |\,\,\,\,\,\,\,\,\,\,  \\
   Et\,\,\,\,\,\,\,\,\,\,  \\
\end{matrix}$

$(r)$ $\begin{matrix}
   \,Ph\,\,\,\,\,O\,  \\
   |\,\,\,\,\,\,\,\,\,\,||\,  \\
   Ph-C-C-C{{H}_{3}}  \\
   |\,\,\,\,\,\,\,\,\,\,\,\,\,\,  \\
   Et\,\,\,\,\,\,\,\,\,\,\,\,\,  \\
\end{matrix}$                             $(s)$ $\begin{matrix}
   \,\,\,Ph\,\,\,\,\,O\,  \\
   \,\,|\,\,\,\,\,\,\,\,||  \\
   Ph-C-C-Et  \\
   |\,\,\,\,\,\,\,\,\,\,  \\
   C{{H}_{3}}\,\,\,\,  \\
\end{matrix}$

When $(A)$ and $(B)$ reacts with $H_2SO_4$ products obtained are

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