1. [H] 10.⁹.3 moles/L; pH = ? 2. [H] 10-13.23 moles/L; pH = ? = 3. [H] = 0.000001 moles/L; pH = ?

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### Calculating pH from Hydrogen Ion Concentration

Understanding the pH scale and how to calculate the pH of a solution given its hydrogen ion concentration, [H⁺], is fundamental in chemistry. Here we have several problems where you will need to calculate the pH from given hydrogen ion concentrations.

#### Problems:

1. **[H⁺] = 10⁻⁹.³ moles/L; pH = ?**
   
2. **[H⁺] = 10⁻¹³.²³ moles/L; pH = ?**

3. **[H⁺] = 0.000001 moles/L; pH = ?**

4. **[H⁺] = 0.00000302 moles/L; pH = ?**

5. **[H⁺] = 9.1 x 10⁻⁷ moles/L; pH = ?**

6. **[H⁺] = 0.05μE/L; pH = ?**

---

### Explanation:

To calculate the pH of a solution, use the formula:
\[ \text{pH} = -\log_{10} [\text{H}^+] \]

For each problem:

1. For [H⁺] = 10⁻⁹.³ moles/L:
   \[ \text{pH} = -\log_{10} (10^{-9.3}) = 9.3 \]
   
2. For [H⁺] = 10⁻¹³.²³ moles/L:
   \[ \text{pH} = -\log_{10} (10^{-13.23}) = 13.23 \]

3. For [H⁺] = 0.000001 moles/L:
   \[ \text{pH} = -\log_{10} (0.000001) = 6 \]

4. For [H⁺] = 0.00000302 moles/L:
   \[ \text{pH} = -\log_{10} (0.00000302) \approx 5.52 \]

5. For [H⁺] = 9.1 x 10⁻⁷ moles/L:
   \[ \text{pH} = -\log_{10
Transcribed Image Text:### Calculating pH from Hydrogen Ion Concentration Understanding the pH scale and how to calculate the pH of a solution given its hydrogen ion concentration, [H⁺], is fundamental in chemistry. Here we have several problems where you will need to calculate the pH from given hydrogen ion concentrations. #### Problems: 1. **[H⁺] = 10⁻⁹.³ moles/L; pH = ?** 2. **[H⁺] = 10⁻¹³.²³ moles/L; pH = ?** 3. **[H⁺] = 0.000001 moles/L; pH = ?** 4. **[H⁺] = 0.00000302 moles/L; pH = ?** 5. **[H⁺] = 9.1 x 10⁻⁷ moles/L; pH = ?** 6. **[H⁺] = 0.05μE/L; pH = ?** --- ### Explanation: To calculate the pH of a solution, use the formula: \[ \text{pH} = -\log_{10} [\text{H}^+] \] For each problem: 1. For [H⁺] = 10⁻⁹.³ moles/L: \[ \text{pH} = -\log_{10} (10^{-9.3}) = 9.3 \] 2. For [H⁺] = 10⁻¹³.²³ moles/L: \[ \text{pH} = -\log_{10} (10^{-13.23}) = 13.23 \] 3. For [H⁺] = 0.000001 moles/L: \[ \text{pH} = -\log_{10} (0.000001) = 6 \] 4. For [H⁺] = 0.00000302 moles/L: \[ \text{pH} = -\log_{10} (0.00000302) \approx 5.52 \] 5. For [H⁺] = 9.1 x 10⁻⁷ moles/L: \[ \text{pH} = -\log_{10
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