MCQ
$pH$ of a mixture of $1\, M$ benzoic acid $(pK_a = 4.20)$ and $1\,M C_6H_5$ $COONa$ is $4.5$, what is the volume of benzoic acid required to prepare a $300\, ml$ buffer $[log \,2 = 0.3]$? .....$ml$
  • A
    $200$
  • B
    $150$
  • $100$
  • D
    $50$

Answer

Correct option: C.
$100$
c
$\mathrm{pH}=\mathrm{pKa}+\log \frac{\mathrm{V}}{300-\mathrm{V}}$

$4.5=4.2+\log \frac{\mathrm{V}}{300-\mathrm{V}}$

$0.3=\log \frac{\mathrm{V}}{300-\mathrm{V}}$

$\log 2=\log \frac{\mathrm{V}}{300-\mathrm{V}}$

$\therefore 2=\frac{\mathrm{V}}{300-\mathrm{V}}$

$\mathrm{V}=200 \therefore$ Volume of the acid $=300-200=$ $100$

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