# Gibbs Free Energy with Equilibrium Constant ('K_eq')

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Delta G =
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The Gibbs Free Energy calculator computes the free energy based on the temperature, equilibrium constant and the Gas Law constant (R).

INSTRUCTIONS: Choose units and enter the following:

• (T) This is the temperature
• (Ka) This is the equilibrium constant

Gibbs Free Energy (ΔG): The calculator returns the energy in Joules per mole.  However, this can be automatically converted to compatible units via the pull-down menu.

#### The Math / Science

The Gibbs Free Energy of reaction formula,  ΔG = -R • T • ln (Ka) , calculates the process-initiating work available to trigger a reaction.  As such it is defined in units of energy / amount of substance (J/mol).

ΔG = -R • T • ln (Ka)

where:

• ΔG is the Gibbs free energy (J/mol)
• R is the ideal gas constant (8.314 J/mol*K)
• T is temperature (Kelvin)
• Ka is the acid equilibrium constant (unit-less)