LazyTools

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⚡ Gibbs Free Energy Calculator (ΔG = ΔH − TΔS)

Find ΔG from enthalpy, temperature and entropy — and see whether the reaction is spontaneous — or solve for any of the four.

Gibbs free energy ΔG

-70.2 kJ/mol

ΔG = ΔH − TΔS. Enter ΔH in kJ/mol, ΔS in J/(mol·K), T in kelvin. ΔG < 0 ⇒ spontaneous. 🔒 Computed in your browser.

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How the gibbs free energy calculator (δg = δh − tδs) works

Gibbs free energy is ΔG = ΔH − TΔS, with ΔH in kJ/mol, ΔS in J/(mol·K) and T in kelvin (the tool handles the kJ/J unit conversion). Enter any three and it solves for the fourth. A negative ΔG means the reaction is spontaneous (product-favoured) at that temperature.

The single most common thermodynamics gotcha is mixing kJ and J — here ΔH is kJ/mol and ΔS is J/(mol·K), converted internally, so you don’t have to. ΔG < 0 spontaneous, ΔG > 0 non-spontaneous, ΔG = 0 at equilibrium.

Frequently asked questions

What is the Gibbs free energy equation?

ΔG = ΔH − TΔS: the change in free energy equals the enthalpy change minus the absolute temperature times the entropy change. It predicts whether a process is spontaneous.

When is a reaction spontaneous?

When ΔG is negative. ΔG > 0 is non-spontaneous (the reverse is favoured), and ΔG = 0 is at equilibrium. This tool states the verdict from your values.

Why do I use kJ for ΔH but J for ΔS?

By convention ΔH is tabulated in kJ/mol and ΔS in J/(mol·K). They must be in the same units before subtracting — the tool converts ΔS to kJ automatically, avoiding the classic 1000× error.

How do I find the temperature where a reaction becomes spontaneous?

Set ΔG = 0 and solve for T = ΔH/ΔS. Choose to solve for T with ΔG left at 0 to find the crossover temperature.

What does temperature do to spontaneity?

It scales the −TΔS term. If ΔH and ΔS have the same sign, spontaneity flips at T = ΔH/ΔS; if they have opposite signs, the reaction is spontaneous (or not) at all temperatures.

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