For strong bases like NaOH, the pH can be calculated directly from the concentration of hydroxide ions, while for weak bases, equilibrium calculations are needed.
NaOH is a strong base, so it dissociates completely in water. The concentration of \( \text{OH}^- \) ions is equal to the concentration of NaOH, which is 0.001 M.
The pOH is given by the equation:
\[
\text{pOH} = -\log [\text{OH}^-]
\]
Substitute the value of \( [\text{OH}^-] = 0.001 \, \text{M} \):
\[
\text{pOH} = -\log (0.001) = 3
\]
Since \( \text{pH} + \text{pOH} = 14 \), we have:
\[
\text{pH} = 14 - 3 = 13
\]
Thus, the pH of the NaOH solution is 13.