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Degree of Dissociation of Acid 2 given Dissociation Constant of Both Acids Calculator

Formula:

\[ \alpha_2 = \alpha_1 \times \sqrt{\frac{Ka_2}{Ka_1}} \]

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1. What is Degree of Dissociation?

Definition: The degree of dissociation (α) is the fraction of original solute molecules that have dissociated in a solution.

Purpose: This calculator determines the degree of dissociation for a second acid based on its dissociation constant relative to a first acid with known dissociation properties.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \alpha_2 = \alpha_1 \times \sqrt{\frac{Ka_2}{Ka_1}} \]

Where:

Explanation: The formula shows that the degree of dissociation is proportional to the square root of the acid dissociation constant ratio.

3. Importance of Degree of Dissociation

Details: Understanding dissociation helps predict acid strength, pH of solutions, and chemical equilibrium in reactions.

4. Using the Calculator

Tips: Enter the known degree of dissociation (0-1), both acid dissociation constants (must be > 0). The result will be capped at 1.0.

5. Frequently Asked Questions (FAQ)

Q1: What range is valid for degree of dissociation?
A: The degree of dissociation ranges from 0 (no dissociation) to 1 (complete dissociation).

Q2: How do I find dissociation constants?
A: Ka values are typically found in chemistry reference tables or determined experimentally.

Q3: Why does the formula use a square root?
A: The square root relationship comes from the equilibrium constant expression for weak acid dissociation.

Q4: Can this be used for bases?
A: Yes, if you use the base dissociation constant (Kb) instead of Ka.

Q5: What if my result exceeds 1?
A: The calculator automatically caps results at 1.0, as dissociation cannot exceed 100%.

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