An unknown weak acid with a concentration of 0.066 M has a pH of 1.80. What is the Ka of the weak acid?

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**Question 12 of 52: Weak Acid Dissociation Constant (Ka) Calculation**

An unknown weak acid with a concentration of 0.066 M has a pH of 1.80. What is the \( K_a \) of the weak acid?

**Key Concepts:**

- **Weak Acids**: Weak acids do not completely dissociate in solution. Their dissociation can be described by an equilibrium constant, \( K_a \).

- **pH and \( H^+ \) Concentration**: The pH of a solution is related to the concentration of hydrogen ions (\( H^+ \)) by the formula: 
  \[
  pH = -\log[H^+]
  \]

- **Finding \( K_a \)**: For a weak acid, \( HA \), dissociating into \( H^+ \) and \( A^- \), the equilibrium expression is:
  \[
  K_a = \frac{[H^+][A^-]}{[HA]}
  \]

**Calculator Panel:**

- A numbered pad (1-9, 0) for data entry and arithmetic operations.
- Buttons for basic functions such as backspace (\( \times \)) to correct entries, clear (\( C \)), and scientific notation (\( \times 10^x \)).

To calculate \( K_a \), first, determine the \( [H^+] \) using the pH, and then apply the equilibrium expression to find \( K_a \) using the given concentrations.
Transcribed Image Text:**Question 12 of 52: Weak Acid Dissociation Constant (Ka) Calculation** An unknown weak acid with a concentration of 0.066 M has a pH of 1.80. What is the \( K_a \) of the weak acid? **Key Concepts:** - **Weak Acids**: Weak acids do not completely dissociate in solution. Their dissociation can be described by an equilibrium constant, \( K_a \). - **pH and \( H^+ \) Concentration**: The pH of a solution is related to the concentration of hydrogen ions (\( H^+ \)) by the formula: \[ pH = -\log[H^+] \] - **Finding \( K_a \)**: For a weak acid, \( HA \), dissociating into \( H^+ \) and \( A^- \), the equilibrium expression is: \[ K_a = \frac{[H^+][A^-]}{[HA]} \] **Calculator Panel:** - A numbered pad (1-9, 0) for data entry and arithmetic operations. - Buttons for basic functions such as backspace (\( \times \)) to correct entries, clear (\( C \)), and scientific notation (\( \times 10^x \)). To calculate \( K_a \), first, determine the \( [H^+] \) using the pH, and then apply the equilibrium expression to find \( K_a \) using the given concentrations.
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