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Q. What is the difference in $pH$ for $1 / 3$ and $2 / 3$ stages of neutralisation of $0.1 \,M\, CH _{3} COOH$ with $0.1\, M\, NaOH $ ?

Equilibrium

Solution:

image
$pH =p K a+\log \frac{[\text { salt }]}{[\text { acid }]}$
$pH _{1}=p K a+\log \frac{1 / 3}{2 / 3}\, \dots(i)$
at 2/3 neutralization
$pH _{2}=p K a+\log \frac{2 / 3}{1 / 3}\, \dots(2)$
$pH _{1}- pH _{2}=\log \frac{1}{2}-\log 2$
$=\log \frac{1}{4}=-2 \log 2$