Base Dissociation Constant Formula:
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The Ka to Kb calculation converts the acid dissociation constant (Ka) to the base dissociation constant (Kb) using the water ion product (Kw). This relationship is fundamental in acid-base chemistry for conjugate acid-base pairs.
The calculator uses the formula:
Where:
Explanation: For any conjugate acid-base pair, the product of their dissociation constants equals the water ion product: \( K_a \times K_b = K_w \).
Details: Calculating Kb from Ka is essential for understanding base strength, predicting pH of basic solutions, and analyzing buffer systems in chemical and biological systems.
Tips: Enter Ka value in molar units (M). The default Kw value is 1×10⁻¹⁴ M² (standard at 25°C). Both values must be positive numbers greater than zero.
Q1: What is the relationship between Ka and Kb?
A: For conjugate acid-base pairs, Ka × Kb = Kw. A strong acid has a weak conjugate base, and vice versa.
Q2: What is the typical value of Kw?
A: At 25°C, Kw = 1.0 × 10⁻¹⁴ M². This value changes with temperature, increasing as temperature rises.
Q3: How do I interpret Kb values?
A: Larger Kb values indicate stronger bases. Kb > 1 suggests a strong base, while Kb < 10⁻¹⁴ suggests a very weak base.
Q4: Can this calculation be used for polyprotic acids?
A: Yes, but each dissociation step has its own Ka value, and you would calculate the corresponding Kb for each conjugate base separately.
Q5: What are common Ka values for reference?
A: Strong acids: Ka > 1, Weak acids: Ka < 1. For example, acetic acid Ka ≈ 1.8×10⁻⁵, giving Kb ≈ 5.6×10⁻¹⁰ for acetate ion.