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Q. A certain acidic indicator has $pH =5.48. \,75 \%$ of the indicator exists in its ionised from. Calculate $Ka$ of the indicator,

Equilibrium

Solution:

$pH = pk _{ In }+\log \left(\frac{ In ^{-}}{ H In }\right)$
$5.48= pk _{ In }+\log \left(\frac{75}{25}\right)$
$pk _{ In }=5.48-\log 3=5.48-0.48=5$
$k _{ In }=1 \times 10^{-5}$