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How to Calculate Ka Given pH and Concentration

Weak Acid Dissociation Equation:

\[ K_a = \frac{[H^+] \times (C - [H^+])}{[H^+]} \] \[ \text{where } [H^+] = 10^{-pH} \]

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1. What is Ka and pH?

The acid dissociation constant (Ka) quantifies the strength of a weak acid in solution, while pH measures the acidity or basicity of that solution. Understanding the relationship between pH and Ka is fundamental in acid-base chemistry.

2. How Does the Calculator Work?

The calculator uses the weak acid approximation formula:

\[ K_a = \frac{[H^+] \times (C - [H^+])}{[H^+]} \] \[ \text{where } [H^+] = 10^{-pH} \]

Where:

Explanation: This calculation assumes the weak acid approximation, where the concentration of hydrogen ions is much smaller than the initial acid concentration.

3. Importance of Ka Calculation

Details: Ka values are crucial for understanding acid strength, predicting reaction outcomes, calculating pH of buffer solutions, and designing chemical processes in industrial and laboratory settings.

4. Using the Calculator

Tips: Enter pH value (0-14) and acid concentration in mol/L. Ensure pH values are within the valid range and concentrations are positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the weak acid approximation?
A: The assumption that for weak acids, the hydrogen ion concentration is much smaller than the initial acid concentration, simplifying the calculation.

Q2: When is this approximation valid?
A: When Ka < 10⁻³ and the acid concentration is reasonably high (typically > 0.01 M).

Q3: What are typical Ka values for common acids?
A: Strong acids have Ka > 1, weak acids have Ka < 1. For example, acetic acid Ka ≈ 1.8×10⁻⁵, hydrochloric acid Ka ≈ 10⁷.

Q4: How does temperature affect Ka?
A: Ka values are temperature-dependent. Most acid dissociation constants change with temperature, though the effect is usually small near room temperature.

Q5: Can this calculator be used for polyprotic acids?
A: No, this calculator is designed for monoprotic weak acids. Polyprotic acids require more complex calculations considering multiple dissociation steps.

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