An acid (HA) dissociates as follows: HA → H* + A minus Arrow should be interpreted as an equilibrium arrow. The pH of the 0.10 M solution of HA is 4.02. What is [H*]? Express your answer as a decimal, not an exponent. Please include a proper (abbreviated) unit.

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### Acid Dissociation and pH Calculation

**An acid (HA) dissociates as follows:**

\[ \text{HA} \rightleftharpoons \text{H}^+ + \text{A}^- \]

(Note: The arrow indicates equilibrium)

**Given Data:**

- The pH of the 0.10 M solution of HA is 4.02.

**Problem:**

**What is the concentration of hydrogen ions \([\text{H}^+]\)?**

**Instructions:**

- Express your answer as a decimal, not an exponent.
- Please include a proper (abbreviated) unit.

**Solution:**

The concentration of hydrogen ions, \([\text{H}^+]\), can be calculated using the pH value. The relationship between pH and \([\text{H}^+]\) is given by the formula:

\[ \text{pH} = -\log[\text{H}^+] \]

Rearranging the formula to solve for \([\text{H}^+]\):

\[ [\text{H}^+] = 10^{-\text{pH}} \]

Using the provided pH value:

\[ [\text{H}^+] = 10^{-4.02} \]

Calculating the value:

\[ [\text{H}^+] = 0.000095 \, \text{M} \]

So, the hydrogen ion concentration is:

\[ [\text{H}^+] = 0.000095 \, \text{M} \]

Or, as a decimal:

\[ [\text{H}^+] = 9.5 \times 10^{-5} \, \text{M} \]

**Note:** Ensure to double-check the calculations with proper significant figures based on context and instructional requirements.
Transcribed Image Text:### Acid Dissociation and pH Calculation **An acid (HA) dissociates as follows:** \[ \text{HA} \rightleftharpoons \text{H}^+ + \text{A}^- \] (Note: The arrow indicates equilibrium) **Given Data:** - The pH of the 0.10 M solution of HA is 4.02. **Problem:** **What is the concentration of hydrogen ions \([\text{H}^+]\)?** **Instructions:** - Express your answer as a decimal, not an exponent. - Please include a proper (abbreviated) unit. **Solution:** The concentration of hydrogen ions, \([\text{H}^+]\), can be calculated using the pH value. The relationship between pH and \([\text{H}^+]\) is given by the formula: \[ \text{pH} = -\log[\text{H}^+] \] Rearranging the formula to solve for \([\text{H}^+]\): \[ [\text{H}^+] = 10^{-\text{pH}} \] Using the provided pH value: \[ [\text{H}^+] = 10^{-4.02} \] Calculating the value: \[ [\text{H}^+] = 0.000095 \, \text{M} \] So, the hydrogen ion concentration is: \[ [\text{H}^+] = 0.000095 \, \text{M} \] Or, as a decimal: \[ [\text{H}^+] = 9.5 \times 10^{-5} \, \text{M} \] **Note:** Ensure to double-check the calculations with proper significant figures based on context and instructional requirements.
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