Step 1: Understanding the Relationship Between pH and pOH
The relationship between pH and pOH in aqueous solutions is given by the equation:
\[
\text{pH} + \text{pOH} = 14.0
\]
This is derived from the ion product of water at 25°C, where \(K_w = 1.00 \times 10^{-14}\). The pK\(_w\) is the negative logarithm of \(K_w\), which is 14.0.
Step 2: Analyzing the Options
\(\log(K_w)\) is not equal to \(\text{pH} + \text{pOH}\).
14.0 is the correct value for \(\text{pH} + \text{pOH}\) at 25°C.
\(1.00 \times 10^{-14}\) is the value of \(K_w\), not \(\text{pH} + \text{pOH}\).
\(\text{pK}_w\) is equal to 14.0, but the direct answer to \(\text{pH} + \text{pOH}\) is 14.0.