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pH Calculator Using Ka

Weak Acid pH Formula:

\[ pH \approx -\log \sqrt{K_a C} \]

mol/L
mol/L

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1. What is the Weak Acid pH Calculation?

The weak acid pH calculation estimates the pH of a weak acid solution using the acid dissociation constant (Ka) and concentration. This approximation is valid for weak acids where the dissociation is limited.

2. How Does the Calculator Work?

The calculator uses the weak acid pH formula:

\[ pH \approx -\log \sqrt{K_a C} \]

Where:

Explanation: This formula approximates the pH of a weak acid solution by assuming that the concentration of H⁺ ions equals the square root of the product of Ka and the initial concentration.

3. Importance of pH Calculation

Details: Accurate pH calculation is essential for understanding acid-base chemistry, predicting chemical behavior, and applications in various scientific and industrial processes.

4. Using the Calculator

Tips: Enter Ka value in mol/L and concentration in mol/L. Both values must be positive numbers greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: When is this approximation valid?
A: This approximation works best for weak acids where Ka is much smaller than the concentration (typically Ka < 10⁻³).

Q2: What are typical Ka values for weak acids?
A: Weak acids typically have Ka values between 10⁻² and 10⁻¹⁰ mol/L. For example, acetic acid has Ka ≈ 1.8 × 10⁻⁵ mol/L.

Q3: When should I use the exact quadratic formula instead?
A: Use the exact quadratic solution when the acid is moderately strong or when higher precision is required, especially when Ka > 10⁻³.

Q4: Does this work for polyprotic acids?
A: This approximation is primarily for monoprotic weak acids. Polyprotic acids require more complex calculations.

Q5: What are the limitations of this approximation?
A: The approximation assumes that the dissociation is minimal and neglects the contribution of water's autoionization, which may affect results for very dilute solutions.

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