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Q. In aqueous solution $\alpha$-amino acid has the following equilibria.
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Find the iso-electric point of the $\alpha$-amino acid given.

Equilibrium

Solution:

$pK _{ a _{1}}=-\log 5-\log 10^{-3} \approx 2.3$
$pK _{ b }=4.3$
$\Rightarrow pK _{ a _{2}}=9.7$
$\therefore p ^{1}=\frac{ pK _{ a _{1}}+ pK _{ a _{2}}}{2}$
$=\frac{2.3+9.7}{2}=6$