Dissociation Constant of Base 2 given Degree of Dissociation of Both Bases Calculator

Formula Used:

\[ Kb_2 = (Kb_1) \times \left(\frac{\alpha_2}{\alpha_1}\right)^2 \]

Dissociation Constant of Base 2 (Kb₂):

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1. What is Dissociation Constant of Base 2 Calculator?

Definition: This calculator determines the dissociation constant of a second base (Kb₂) based on the dissociation constant of a first base (Kb₁) and their respective degrees of dissociation.

Purpose: It helps chemists and students compare the relative strengths of two bases when their degrees of dissociation are known.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Kb_2 = (Kb_1) \times \left(\frac{\alpha_2}{\alpha_1}\right)^2 \]

Where:

\( Kb_2 \) — Dissociation constant of base 2
\( Kb_1 \) — Dissociation constant of base 1
\( \alpha_1 \) — Degree of dissociation of base 1 (0 to 1)
\( \alpha_2 \) — Degree of dissociation of base 2 (0 to 1)

Explanation: The formula relates the dissociation constants of two bases through the square of the ratio of their degrees of dissociation.

3. Importance of This Calculation

Details: Understanding base dissociation constants is crucial for predicting base strength, pH calculations, and chemical equilibrium studies.

4. Using the Calculator

Tips: Enter the dissociation constant of base 1 (Kb₁), degree of dissociation for both bases (α₁ and α₂). All values must be > 0 and degrees of dissociation typically range between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What is the degree of dissociation?
A: It's the fraction of molecules that dissociate into ions in solution, ranging from 0 (no dissociation) to 1 (complete dissociation).

Q2: Why is the ratio squared in the formula?
A: The square relationship comes from the equilibrium constant expression for weak base dissociation.

Q3: What units should I use for Kb values?
A: The calculator works with any consistent units, but typically Kb is expressed in mol/L.

Q4: Can I use this for strong bases?
A: No, this formula applies only to weak bases where dissociation is incomplete (α < 1).

Q5: How accurate is this calculation?
A: It provides a good estimate when comparing bases under similar conditions (temperature, concentration).