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=

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 $\mathrm{pH}=$
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Solution

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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 \(\boxed{12.0000}\).

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