1. What is Equilibrium Constant given Gibbs Energy?

Definition: This calculator determines the equilibrium constant (K_c) for a chemical reaction using Gibbs free energy and temperature.

Purpose: It helps chemists and chemical engineers predict the position of equilibrium in chemical reactions.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( K_c \) — Equilibrium constant (dimensionless)
• \( \Delta G \) — Gibbs free energy change (Joules)
• \( R \) — Universal gas constant (8.314 J/mol·K)
• \( T \) — Absolute temperature (Kelvin)

Explanation: The formula relates the thermodynamic driving force (ΔG) to the equilibrium position through the exponential relationship.

3. Importance of Equilibrium Constant

Details: The equilibrium constant indicates whether products or reactants are favored at equilibrium and helps predict reaction yields.

4. Using the Calculator

Tips: Enter Gibbs free energy in Joules and temperature in Kelvin. Temperature must be > 0 K.

5. Frequently Asked Questions (FAQ)

Q1: What does a large K_c value mean?
A: K_c > 1 indicates products are favored at equilibrium; K_c < 1 indicates reactants are favored.

Q2: What units should I use for Gibbs free energy?
A: The calculator expects ΔG in Joules. If you have kJ, multiply by 1000 before entering.

Q3: Why is temperature in Kelvin?
A: The thermodynamic equations require absolute temperature scale (Kelvin) for proper calculations.

Q4: What is the range of possible K_c values?
A: Theoretically from 0 to ∞, but practically between 10^-30 to 10³⁰ for most reactions.

Q5: How does temperature affect K_c?
A: For endothermic reactions (ΔH > 0), K_c increases with temperature; for exothermic reactions (ΔH < 0), K_c decreases with temperature.