Question:medium

What is the pH of a \(10^{-4}\ \mathrm{M\ OH^-}\) solution at 330 K, if \(K_w\) at 330 K is \(10^{-13.6}\) ?

Show Hint

Find \([H^+]\) from \(K_w = [H^+][OH^-]\) at 330 K, then take \(-\log\).
Updated On: Oct 31, 2026
  • 4
  • 9.0
  • 10
  • 9.6
Show Solution

The Correct Option is D

Solution and Explanation

Use \(\mathrm{pH} + \mathrm{pOH} = \mathrm{p}K_w\).
\(\mathrm{pOH} = -\log(10^{-4}) = 4\) and \(\mathrm{p}K_w = 13.6\) at 330 K.
\(\mathrm{pH} = 13.6 - 4 = 9.6\).
Answer: (4) 9.6
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