Questions: Question 4 pH + pOH always equals log(Kw) 14.0 1.00 × 10^-14 pKw

Question 4
pH + pOH always equals
log(Kw)
14.0
1.00 × 10^-14
pKw
Transcript text: Question 4 $\mathrm{pH}+\mathrm{pOH}$ always equals $\log \left(K_{w}\right)$ 14.0 $1.00 \times 10^{-14}$ $\mathrm{pK}_{\mathrm{w}}$
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Solution

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Solution Steps

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.

Final Answer

\(\boxed{14.0}\)

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