Gibbs Free Energy Calculator
Gibbs Free Energy Calculator computes the Gibbs free energy change (\\(\Delta G\\)) for a chemical reaction, determining spontaneity based on enthalpy change, entropy change, and temperature.
Formulas Used in Gibbs Free Energy Calculator
The calculator uses the Gibbs free energy equation:
Gibbs Free Energy:
\\[ \Delta G = \Delta H – T \Delta S \\]Temperature Conversions:
\\[ T_K = T_C + 273.15 \\] \\[ T_K = \frac{5(T_F – 32)}{9} + 273.15 \\]Spontaneity:
- \\(\Delta G < 0\\): Reaction is spontaneous
- \\(\Delta G > 0\\): Reaction is non-spontaneous
- \\(\Delta G = 0\\): Reaction is at equilibrium
Where:
- \\(\Delta G\\): Gibbs free energy change (kJ/mol)
- \\(\Delta H\\): Enthalpy change (kJ/mol)
- \\(\Delta S\\): Entropy change (kJ/(mol·K))
- \\(T\\): Temperature (K)
- \\(T_C\\): Temperature in Celsius (°C)
- \\(T_F\\): Temperature in Fahrenheit (°F)
Example Calculation
Example: \\(\Delta H = 50 \, \text{kJ/mol}, \Delta S = 0.1 \, \text{kJ/(mol·K)}, T = 298 \, \text{K}\\)
Compute: \\(\Delta G = 50 – 298 \times 0.1 = 20.2 \, \text{kJ/mol}\\)
Result: \\(\Delta G > 0\\), non-spontaneous