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Ph Formula Using Ka

pH Formula for Weak Acids:

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

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1. What is pH Formula Using Ka?

The pH formula using Ka calculates the pH of a weak acid solution based on its acid dissociation constant (Ka) and concentration. This formula is essential for understanding acid-base chemistry and predicting the acidity of weak acid solutions.

2. How Does the Calculator Work?

The calculator uses the weak acid pH formula:

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

Where:

Explanation: For weak acids that only partially dissociate, the hydrogen ion concentration can be approximated using the square root of the product of Ka and the initial concentration.

3. Importance of pH Calculation

Details: Accurate pH calculation is crucial for chemical reactions, biological systems, industrial processes, and environmental monitoring. Understanding weak acid behavior helps in buffer preparation and acid-base titration.

4. Using the Calculator

Tips: Enter the acid dissociation constant (Ka) and the concentration of the weak acid in moles per liter (M). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between strong and weak acids?
A: Strong acids completely dissociate in water, while weak acids only partially dissociate. This formula applies specifically to weak acids.

Q2: When is this approximation valid?
A: This approximation works well when the acid is weak (Ka < 10⁻³) and the concentration is not extremely dilute.

Q3: 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.

Q4: Why use the square root in the calculation?
A: The square root comes from the equilibrium expression for weak acid dissociation: Ka = [H⁺]²/C for monoprotic acids when [H⁺] = [A⁻].

Q5: What if the acid concentration is very low?
A: For very dilute solutions, you may need to account for the autoionization of water, especially when [H⁺] from the acid approaches 10⁻⁷ M.

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