Calculate the $\mathrm{pOH}$ of a solution $25^{\circ} \mathrm{C}$ that contains $1 \times 10^{-10}…

Calculate the $\mathrm{pOH}$ of a solution $25^{\circ} \mathrm{C}$ that contains $1 \times 10^{-10} \mathrm{M}$ of hydronium ions i.e. $\mathrm{H}_3 \mathrm{O}^{+}$:
  1. 4.000
  2. 9.000
  3. 1.000
  4. 7.000

Solution

Given $\left[\mathrm{H}_3 \mathrm{O}^{+}\right]=1 \times 10^{-10} \mathrm{M}$ at $25^{\circ}\left[\mathrm{H}_3 \mathrm{O}^{+}\right]\left[\mathrm{OH}^{-}\right]=10^{-14}$ $\therefore \quad\left[\mathrm{OH}^{-}\right]=\frac{10^{-14}}{10^{-10}}=10^{-4}$ Now, $\quad\left[\mathrm{OH}^{-}\right]=10^{-p^{\text {OH }}}$ $=10^{-4}=10^{-P^{\mathrm{OH}}}$ $\therefore \quad p^{\mathrm{OH}}=4$.

Asked in: NEET 2007

Practice more Ionic Equilibria questions on Aicharya