MCQ
A buffer that is a mixture of acetic acid $(K_a = 2 \times 10^{-5})$ and potassium acetate  has $pH = 5.18$. The $\frac{[CH_3COO^-]}{[CH_3COOH]}$ ratio in this buffer is approx 
  • A
    $1 : 1$
  • $3 : 1$
  • C
    $5 : 1$
  • D
    $1 : 3$

Answer

Correct option: B.
$3 : 1$
b
$\mathrm{pH}=\mathrm{pKa}+\log \frac{\left[\mathrm{CH}_{3} \mathrm{COO}^{-}\right]}{\left[\mathrm{CH}_{3} \mathrm{COOH}\right]}$

$5.18=(5-\log 2)+\log \frac{\left[\mathrm{CH}_{3} \mathrm{COO}^{-}\right]}{\left[\mathrm{CH}_{3} \mathrm{COOH}\right]}$

$5.18-4.7=0.48=\log 3=\log \frac{\left[\mathrm{CH}_{3} \mathrm{COO}^{-}\right]}{\left[\mathrm{CH}_{3} \mathrm{COOH}\right]}$

$\therefore \frac{\left[\mathrm{CH}_{3} \mathrm{COO}^{-}\right]}{\left[\mathrm{CH}_{3} \mathrm{COOH}\right]}=3: 1$

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