MCQ
$0.5\, M$ ammonium benzoate is hydrolysed to $0.25$ percent, hence its hydrolysis constant is
  • A
    $2.5 \times {10^{ - 5}}$
  • B
    $1.5 \times {10^{ - 4}}$
  • $3.125 \times {10^{ - 6}}$
  • D
    $6.25 \times {10^{ - 4}}$

Answer

Correct option: C.
$3.125 \times {10^{ - 6}}$
(c) ${C_6}{H_5}COON{H_4} \to {C_6}{H_5}CO{O^ - } + NH_4^ + $

$0.5 - \frac{{.25}}{{100}}$ $\frac{{.25}}{{100}}$ $\frac{{.25}}{{100}}$

According to Ostwald dilution law.

$K = \frac{{{\alpha ^2}C}}{{1 - \alpha }}$ $\left( {\therefore \;\;\alpha = \frac{{.25}}{{100}}} \right)$

$K = {\alpha ^2}C$    $\left( {\;\;1 - \alpha  = {\rm{Very small}}} \right)$

$K = \frac{{.25}}{{100}} \times \frac{{.25}}{{100}} \times .5$ ; $K = 3.125 \times {10^{ - 6}}$

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