Calculating ΔG From ΔH and ΔS Calculator

Enter enthalpy, entropy, and temperature values with flexible units. Then see spontaneity and equilibrium insight. Download clean CSV and PDF records for later use.

Calculator Inputs

Formula Used

The calculator uses the Gibbs free energy equation:

ΔG = ΔH − TΔS

ΔG is Gibbs free energy change. ΔH is enthalpy change. ΔS is entropy change. T is absolute temperature in kelvin.

All entered values are converted first. Enthalpy becomes J/mol. Entropy becomes J/mol·K. Temperature becomes K. The final result is also shown in kJ/mol and kcal/mol.

For the optional equilibrium estimate, the calculator uses:

ΔG° = −RT ln K

How To Use This Calculator

  1. Enter a label for your calculation.
  2. Enter ΔH and choose the matching enthalpy unit.
  3. Enter ΔS and choose the matching entropy unit.
  4. Enter temperature and select K, °C, or °F.
  5. Choose decimal places for the displayed answer.
  6. Add optional sweep values to compare temperatures.
  7. Press the calculate button.
  8. Download the CSV or PDF record when needed.

Example Data Table

Example ΔH ΔS T Approximate ΔG Status
Exothermic with entropy gain -40 kJ/mol 120 J/mol·K 298.15 K -75.78 kJ/mol Favored
Endothermic with entropy gain 25 kJ/mol 100 J/mol·K 350 K -10.00 kJ/mol Favored
Exothermic with entropy loss -20 kJ/mol -80 J/mol·K 298.15 K 3.85 kJ/mol Not favored

Understanding the DG From DH and DS Calculator

This calculator estimates Gibbs free energy change from enthalpy change, entropy change, and absolute temperature. It supports common laboratory units, so you can enter data from notes, reports, or tables without manual conversion. The tool converts every value to joules per mole before it applies the equation. It then reports the answer in several useful units.

Why Gibbs Free Energy Matters

Gibbs free energy links heat flow, disorder, and temperature. A negative value suggests a process is thermodynamically favored under the selected conditions. A positive value suggests it is not favored without added work or changed conditions. A value near zero means the system is close to balance. This interpretation helps in chemistry, biology, materials work, and general thermodynamic study.

Unit Handling and Interpretation

Enthalpy is usually recorded as joules, kilojoules, calories, or kilocalories per mole. Entropy is normally recorded per mole per kelvin. Temperature must be absolute when used in the formula, so Celsius and Fahrenheit entries are converted to kelvin. When entropy uses calorie units, the calculator also applies the correct energy conversion. This keeps mixed entries consistent and reduces common mistakes.

Advanced Checks

The result panel includes spontaneity status, temperature in kelvin, converted enthalpy, converted entropy, and an estimated equilibrium constant when the value is treated as standard free energy. This estimate uses the gas constant and the selected temperature. It is helpful for quick study, but real systems may need activities, pressure corrections, or measured concentrations.

Practical Use

Use the examples table to compare typical cases. Exothermic reactions with positive entropy often give strongly negative free energy. Endothermic reactions may still be favored when temperature is high and entropy gain is large. Small changes in units can shift the result, so always check labels before saving exports. The CSV file helps with spreadsheets. The PDF file is useful for class notes, reports, and shared calculations.

Good Calculation Practice

Good practice is simple. Record the source of each value. Note whether data is standard or experimental. Keep temperature tied to the same trial. Avoid mixing total energy with molar energy. Use rounded results for display, but keep full precision during review. This habit makes thermodynamic comparisons clearer and easier to audit later.

FAQs

What does ΔG mean?

ΔG means Gibbs free energy change. It shows whether a process is thermodynamically favored at a selected temperature, using enthalpy and entropy values.

What equation does this tool use?

It uses ΔG = ΔH − TΔS. Temperature must be in kelvin. The calculator converts entered units before solving the equation.

Why must temperature be in kelvin?

The Gibbs equation requires absolute temperature. Celsius and Fahrenheit values are not absolute scales, so they are converted to kelvin first.

What does a negative ΔG show?

A negative ΔG suggests the process is thermodynamically favored under the entered conditions. It does not always prove fast reaction speed.

What does a positive ΔG show?

A positive ΔG suggests the process is not favored under the entered conditions. Added work or changed conditions may be required.

Can I enter entropy in calories?

Yes. The calculator accepts calorie and kilocalorie entropy units. It converts them to joules per mole per kelvin before calculating.

What is the temperature sweep?

The sweep estimates ΔG across a temperature range. It helps show how temperature changes can affect spontaneity.

Is the equilibrium constant exact?

It is an estimate based on standard free energy behavior. Real systems may need concentration, pressure, activity, and experimental corrections.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.