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Q. The $pH$ of a $0.05\, M$ ammonia solution is $10.97$. Find the ionisation constant the conjugate acid of ammonia, $N H_{4}^{+}$. Given, $p K_{w}=14.0\, K_{b}$ for ammonia, $=1.77 \times 10^{-5}$

AMUAMU 2013

Solution:

$K_{a}=\frac{K_{w}}{K_{b}}$
$=\frac{10^{-14}}{1.77 \times 10^{-5}}$
$=5.64 \times 10^{-10}$