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Calculate PH Of Weak Acid

Weak Acid pH Approximation:

\[ pH = \frac{1}{2} pK_a - \frac{1}{2} \log C \]

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1. What is the Weak Acid pH Approximation?

The weak acid pH approximation formula estimates the pH of dilute weak acid solutions using the acid dissociation constant (pK_a) and concentration. This simplified approach is valid for weak acids where the degree of dissociation is small.

2. How Does the Calculator Work?

The calculator uses the weak acid pH approximation formula:

\[ pH = \frac{1}{2} pK_a - \frac{1}{2} \log C \]

Where:

Explanation: This approximation assumes that the weak acid is sufficiently dilute and that the contribution of H⁺ ions from water autoionization is negligible compared to the acid dissociation.

3. Importance of pH Calculation for Weak Acids

Details: Accurate pH estimation is crucial for understanding acid-base chemistry, predicting chemical behavior in solutions, and applications in biochemistry, pharmaceuticals, and industrial processes.

4. Using the Calculator

Tips: Enter pK_a value (typically between 0-14 for common weak acids) and concentration in molarity (M). Both values must be positive numbers. The approximation works best for concentrations below 0.1 M.

5. Frequently Asked Questions (FAQ)

Q1: When is this approximation valid?
A: This approximation is valid for dilute weak acid solutions where the concentration is significantly greater than the [H⁺] concentration and for acids with pK_a values typically between 2-12.

Q2: What are typical pK_a values for common weak acids?
A: Acetic acid: 4.76, Formic acid: 3.75, Hydrofluoric acid: 3.17, Carbonic acid: 6.35 (first dissociation).

Q3: When should I use the exact calculation instead?
A: Use exact calculations for concentrated solutions, very strong or very weak acids, or when high precision is required for scientific research.

Q4: Does this work for polyprotic acids?
A: This specific formula is for monoprotic weak acids. Polyprotic acids require more complex calculations considering multiple dissociation steps.

Q5: What are the limitations of this approximation?
A: It neglects activity coefficients, assumes ideal behavior, and becomes less accurate for very concentrated solutions or when the acid is not sufficiently weak.

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