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pH Calculator Given Kb

Weak Base pH Approximation:

\[ pH = 14 - \frac{1}{2} pKb - \frac{1}{2} \log C \]

(dimensionless)
mol/L

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1. What is the Weak Base pH Approximation?

The weak base pH approximation estimates the pH of a solution containing a weak base using the formula: pH = 14 - ½ pKb - ½ log C. This equation provides a simplified method to calculate pH when dealing with weak bases in aqueous solutions.

2. How Does the Calculator Work?

The calculator uses the weak base approximation equation:

\[ pH = 14 - \frac{1}{2} pKb - \frac{1}{2} \log C \]

Where:

Explanation: This approximation assumes that the weak base is only partially dissociated and that the concentration of OH⁻ ions can be estimated using the square root of (Kb × C).

3. Importance of pH Calculation

Details: Accurate pH calculation is crucial for understanding chemical reactions, biological systems, and industrial processes. pH affects reaction rates, solubility, and biological activity.

4. Using the Calculator

Tips: Enter the base dissociation constant (Kb) and concentration (C) in mol/L. Both values must be positive numbers. The approximation works best for weak bases with concentrations significantly higher than the Kb value.

5. Frequently Asked Questions (FAQ)

Q1: When is this approximation valid?
A: This approximation is valid when C >> [OH⁻], which is typically true for weak bases with small Kb values and reasonable concentrations.

Q2: What are the limitations of this approximation?
A: The approximation becomes less accurate for very dilute solutions or for bases that are not particularly weak (larger Kb values).

Q3: How is pKb related to Kb?
A: pKb is the negative base-10 logarithm of Kb: pKb = -log₁₀(Kb). A smaller pKb value indicates a stronger base.

Q4: Can this formula be used for strong bases?
A: No, strong bases are completely dissociated, so their pH calculation is straightforward: pH = 14 + log(C).

Q5: What is the typical range for Kb values?
A: For weak bases, Kb typically ranges from 10⁻² to 10⁻¹², with most common weak bases having Kb values between 10⁻⁴ and 10⁻⁸.

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