Equilibrium Constant in Terms of Mole Fraction given Degree of Dissociation Calculator

Formula Used:

\[ K_χ = \frac{4α^2}{1 - α^2} \]

Equilibrium Constant (K_χ):

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1. What is Equilibrium Constant in Terms of Mole Fraction?

Definition: This calculator determines the equilibrium constant (K_χ) for a chemical reaction based on the degree of dissociation (α) of the reactants.

Purpose: It helps chemists and chemical engineers understand the extent of dissociation at equilibrium for reactions involving gases or solutions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K_χ = \frac{4α^2}{1 - α^2} \]

Where:

\( K_χ \) — Equilibrium constant in terms of mole fraction
\( α \) — Degree of dissociation (between 0 and 1)

Explanation: The formula relates the equilibrium constant to the fraction of molecules that dissociate at equilibrium.

3. Importance of Equilibrium Constant Calculation

Details: Knowing the equilibrium constant helps predict reaction direction, extent of reaction, and optimize reaction conditions.

4. Using the Calculator

Tips: Enter the degree of dissociation (α) as a value between 0 (no dissociation) and 1 (complete dissociation).

5. Frequently Asked Questions (FAQ)

Q1: What is the degree of dissociation?
A: It's the fraction of reactant molecules that dissociate into products at equilibrium.

Q2: What range of values can α have?
A: α must be between 0 (no dissociation) and 1 (complete dissociation).

Q3: When does this formula apply?
A: This specific formula applies to simple dissociation reactions where one molecule dissociates into two particles.

Q4: How does temperature affect K_χ?
A: The equilibrium constant is temperature-dependent. This calculator assumes constant temperature.

Q5: What are the units of K_χ?
A: K_χ is dimensionless when expressed in terms of mole fractions.