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The pH of a solution is 4 then it's OH- ion concentration (in mol dm-3) is

  • A.\(10^{-4}\)
  • B.\(10^{-10}\)
  • C.\(10^{-2}\)
  • D.\(10^{-12}\)
  • E.\(10^{-6}\)

Answer: B

The hydroxide ion concentration is \(10^{-10}\) mol dm-3.

At 25 °C, pH + pOH = 14 (from \(K_{w} = [\mathrm{H^{+}}][\mathrm{OH^{-}}] = 10^{-14}\)):

\[ \begin{aligned} \mathrm{pOH} &= 14 - 4 = 10 \\ [\mathrm{OH^{-}}] &= 10^{-10}\ \text{mol dm}^{-3} \end{aligned} \]

\(10^{-4}\) is the hydrogen ion concentration, not the hydroxide. The solution is acidic, so \([\mathrm{OH^{-}}]\) must be much smaller than \(10^{-7}\), which also rules out \(10^{-2}\) and \(10^{-6}\).

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