Questions: Calculate the pH of each solution at 2 J°C.
1.0 x 10^-3 M HCl pH=
3.0000
0.1 M HNO3 pH=
1.0000
1.0 x 10^-3 M NaOH
pH=
11.0000
0.01 M KOH
pH=
Transcript text: Calculate the pH of each solution at $2 \mathrm{~J}^{\circ} \mathrm{C}$.
$1.0 \times 10^{-3} \mathrm{M} \mathrm{HCl} \quad \mathrm{pH}=$
3.0000
$0.1 \mathrm{M} \mathrm{HNO}_{3} \quad \mathrm{pH}=$
1.0000
$1.0 \times 10^{-3} \mathrm{M} \mathrm{NaOH}$
$\mathrm{pH}=$
11.0000
0.01 M KOH
$\mathrm{pH}=$
Solution
Solution Steps
Step 1: Understanding the Problem
We need to calculate the pH of a 0.01 M KOH solution. KOH is a strong base, which means it dissociates completely in water to produce OH\(^-\) ions.
Step 2: Calculate the pOH
The concentration of OH\(^-\) ions in the solution is equal to the concentration of KOH, which is 0.01 M. The pOH is calculated using the formula:
\[
\text{pOH} = -\log[\text{OH}^-]
\]
Substituting the given concentration:
\[
\text{pOH} = -\log(0.01) = 2.0000
\]
Step 3: Calculate the pH
The pH and pOH are related by the equation:
\[
\text{pH} + \text{pOH} = 14
\]
Using the calculated pOH:
\[
\text{pH} = 14 - \text{pOH} = 14 - 2.0000 = 12.0000
\]
Final Answer
The pH of the 0.01 M KOH solution is \(\boxed{12.0000}\).