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Calculate Ph From Acid Dissociation Constant

pH Calculation for Weak Acid:

\[ pH = -\log([H^+]) \quad \text{where} \quad [H^+] = \sqrt{K_a \times C} \]

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1. What is pH Calculation from Ka?

The pH calculation from acid dissociation constant (Ka) estimates the acidity of a weak acid solution using the relationship between hydrogen ion concentration, dissociation constant, and acid concentration.

2. How Does the Calculator Work?

The calculator uses the weak acid approximation formula:

\[ pH = -\log([H^+]) \quad \text{where} \quad [H^+] = \sqrt{K_a \times C} \]

Where:

Explanation: This approximation assumes the acid is weak enough that the dissociation is small compared to the initial concentration, and that water's autoionization is negligible.

3. Importance of pH Calculation

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

4. Using the Calculator

Tips: Enter Ka in molar units (M), concentration in molar units (M). Both values must be positive. The approximation works best for weak acids where Ka < 0.01.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of validity for this approximation?
A: This approximation is valid for weak acids where Ka/C < 0.01. For stronger acids, the quadratic formula should be used.

Q2: What are typical Ka values for common weak acids?
A: Acetic acid: 1.8×10⁻⁵, Formic acid: 1.8×10⁻⁴, Hydrofluoric acid: 6.8×10⁻⁴, Carbonic acid: 4.3×10⁻⁷.

Q3: When should I use the exact quadratic formula instead?
A: Use the quadratic formula when Ka/C > 0.01, or when high precision is required for moderately strong weak acids.

Q4: Does this work for polyprotic acids?
A: This calculator is designed for monoprotic weak acids. For polyprotic acids, additional calculations are needed for each dissociation step.

Q5: What is the relationship between pKa and Ka?
A: pKa = -log(Ka). A lower pKa indicates a stronger acid, while a higher pKa indicates a weaker acid.

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