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Equilibrium Constant Calculator From Formula

Equilibrium Constant Formula:

\[ K = e^{-\frac{\Delta G^\circ}{RT}} \]

J/mol
K

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1. What is the Equilibrium Constant?

The equilibrium constant (K) quantifies the ratio of product concentrations to reactant concentrations at equilibrium, raised to their stoichiometric coefficients. It's related to the standard Gibbs free energy change (ΔG°) of the reaction.

2. How Does the Calculator Work?

The calculator uses the thermodynamic relationship:

\[ K = e^{-\frac{\Delta G^\circ}{RT}} \]

Where:

Explanation: The equation shows that reactions with negative ΔG° (spontaneous under standard conditions) have K > 1, favoring products, while positive ΔG° gives K < 1, favoring reactants.

3. Importance of Equilibrium Constant

Details: The equilibrium constant is fundamental in chemical thermodynamics, predicting reaction direction, extent, and composition of equilibrium mixtures. It's essential for industrial process design and biochemical systems.

4. Using the Calculator

Tips: Enter ΔG° in J/mol and temperature in Kelvin. Standard temperature is 298.15 K (25°C). The result is dimensionless and applies to the reaction as written.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between K and Q?
A: K is the equilibrium constant for standard conditions, while Q is the reaction quotient for current conditions. Comparing Q to K predicts reaction direction.

Q2: How does temperature affect K?
A: For endothermic reactions (ΔH° > 0), K increases with temperature. For exothermic reactions (ΔH° < 0), K decreases with temperature.

Q3: What if ΔG° = 0?
A: When ΔG° = 0, K = 1, meaning products and reactants are equally favored at standard conditions.

Q4: Can this be used for electrochemical cells?
A: Yes, ΔG° = -nFE° relates to electrode potentials, allowing calculation of equilibrium constants for redox reactions.

Q5: What are typical K values?
A: K can range from very small (<10⁻¹⁰) to very large (>10¹⁰). Values between 10⁻³ and 10³ often represent chemically significant equilibria.

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