Free Enthalpy of Reaction Calculator (ΔH°rxn)

Calculate the standard enthalpy of reaction for any chemical equation using Hess's Law and standard enthalpies of formation. Our free online calculator instantly determines whether your reaction is exothermic or endothermic with detailed step-by-step results.

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Calculate ΔH°rxn Using Hess's Law

Enter your reactants and products with their standard enthalpies of formation

ΔH°rxn = ΣΔH°f (Products) - ΣΔH°f (Reactants)

Tip: use the minus sign for negative ΔH°f values. Mobile users may need to tap the +/- toggle on the number keypad.

Reactants

Products

How to Calculate Enthalpy of Reaction

  1. Add Reactants: Click "+ Add Reactant" and enter the chemical formula, stoichiometric coefficient, and standard enthalpy of formation (ΔH°f) in kJ/mol.
  2. Add Products: Click "+ Add Product" and enter the same information for each product in your reaction.
  3. Enter Values: Use negative values for negative enthalpies (e.g., -74.8 for methane). Remember that elements in their standard state have ΔH°f = 0.
  4. Calculate: Click "Calculate ΔH°rxn" to get your result instantly with a complete breakdown of the calculation.
  5. Interpret Results: Negative ΔH°rxn indicates an exothermic reaction (releases heat), while positive ΔH°rxn indicates an endothermic reaction (absorbs heat).

Worked Examples: Calculating ΔH°rxn Using Standard Enthalpies of Formation

Learn how to calculate enthalpy of reaction with these practical examples using Hess's Law:

Example 1: Combustion of Methane

CH4(g) + 2 O2(g) → CO2(g) + 2 H2O(l)

  1. ΔH°f (kJ/mol): CH4 = −74.8; O2 = 0; CO2 = −393.5; H2O(l) = −285.8.
  2. ΣΔH°f(products) = [−393.5] + 2×[−285.8] = −965.1.
  3. ΣΔH°f(reactants) = [−74.8] + 2×0 = −74.8.
  4. ΔH°rxn = (−965.1) − (−74.8) = −890.3 kJ/mol (exothermic).

Example 2: Formation of Ammonia (Haber)

N2(g) + 3 H2(g) → 2 NH3(g)

  1. ΔH°f (kJ/mol): N2 = 0; H2 = 0; NH3(g) = −46.1.
  2. Products: 2×(−46.1) = −92.2; Reactants: 0.
  3. ΔH°rxn = −92.2 − 0 = −92.2 kJ/mol (exothermic).

Example 3: Decomposition of Calcium Carbonate

CaCO3(s) → CaO(s) + CO2(g)

  1. ΔH°f (kJ/mol): CaCO3 = −1206.9; CaO = −635.1; CO2 = −393.5.
  2. Products: (−635.1) + (−393.5) = −1028.6; Reactants: −1206.9.
  3. ΔH°rxn = (−1028.6) − (−1206.9) = +178.3 kJ/mol (endothermic).

Frequently Asked Questions About Enthalpy of Reaction

What is the enthalpy of reaction (ΔH°rxn)?

The enthalpy of reaction (ΔH°rxn) is the change in enthalpy that occurs during a chemical reaction at constant pressure. It represents the heat absorbed or released during the reaction. A negative ΔH°rxn indicates an exothermic reaction (heat is released), while a positive value indicates an endothermic reaction (heat is absorbed).

How do you calculate enthalpy of reaction using Hess's Law?

Hess's Law states that the enthalpy change of a reaction is independent of the pathway taken. To calculate ΔH°rxn: ΔH°rxn = ΣΔH°f(products) - ΣΔH°f(reactants). Multiply each compound's standard enthalpy of formation by its stoichiometric coefficient, sum all products, sum all reactants, then subtract reactants from products.

What is the difference between exothermic and endothermic reactions?

Exothermic reactions release energy (heat) to the surroundings and have negative ΔH°rxn values (e.g., combustion of methane: -890.3 kJ/mol). Endothermic reactions absorb energy from the surroundings and have positive ΔH°rxn values (e.g., decomposition of calcium carbonate: +178.3 kJ/mol).

What is standard enthalpy of formation (ΔH°f)?

Standard enthalpy of formation (ΔH°f) is the enthalpy change when one mole of a compound is formed from its elements in their standard states at 25°C (298 K) and 1 atm pressure. By definition, elements in their standard state have ΔH°f = 0 kJ/mol (e.g., O2(g), N2(g), C(graphite)).

Why do elements in their standard state have ΔH°f = 0?

By convention, the standard enthalpy of formation of an element in its most stable form (standard state) at 25°C and 1 atm is defined as zero. This provides a reference point for measuring the enthalpies of formation of all compounds. For example, O2(g), H2(g), N2(g), and C(graphite) all have ΔH°f = 0 kJ/mol.

Where can I find standard enthalpies of formation values?

Standard enthalpies of formation can be found in chemistry textbooks, NIST (National Institute of Standards and Technology) databases, CRC Handbook of Chemistry and Physics, or online chemistry databases. Most general chemistry courses provide tables of common ΔH°f values for reference.

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