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Q. $\left(\text{CH}\right)_{3} \left(\text{NH}\right)_{2} \left(0.12 \, \text{mole} , \, \left(\text{pK}\right)_{\text{b}} = 3.3\right)$ is added to $0.08$ $moles$ of $HCl$ and the solution is diluted to one litre, resulting $pH$ of solution is:

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
$pOH=pK_{b}+log\frac{\left[C H_{3} N H_{3}^{+}\right]}{\left[\left(C H_{3} N H_{2}\right)\right]}$
$=3.3+log\frac{0.08}{0.04}=3.6$
$\therefore pH=10.4$