Dimethyl amine ${\left( {C{H_3}} \right)_2}NH$ is weak base and its ionization constant $ 5.4 \times {10^{ - 5}}$. Calculate $\left[ {O{H^ - }} \right],\left[ {{H_3}O} \right]$, $pOH$ and $pH$ of its $0.2$ $M$ solution at equilibrium.

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$\left[\mathrm{OH}^{-}\right]=1.04 \times 10^{-3} \mathrm{M},\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]=9.6 \times 10^{-12} \mathrm{M}, \mathrm{pOH}=2.98, \mathrm{pH}=11.02$

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