Chemistry & Materials Science

Hess's Law Calculator

Calculate the total enthalpy change of a complex chemical reaction by summing the multiplied enthalpies of up to three individual reaction steps.

kJ
kJ
kJ
Total Reaction Enthalpy (ΔH)
-676.40 kJ
Step 1 Contribution-393.50 kJ
Step 2 Contribution-282.90 kJ
Step 3 Contribution0.00 kJ

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The Conservation of Energy

Hess's Law of Constant Heat Summation is one of the most powerful tools in thermochemistry. It states that the total enthalpy change of a chemical reaction is absolutely identical regardless of whether the reaction occurs in one single step or across multiple intermediate steps.

Because Enthalpy is a "State Function," it only cares about your starting line (reactants) and your finish line (products). The path you take to get there is mathematically irrelevant.

Why We Need Hess's Law

Some chemical reactions are too dangerous, too slow, or too complex to measure in a laboratory calorimeter.

For example, if you want to know the heat released when Carbon turns into Carbon Monoxide (C+12O2COC + \frac{1}{2}O_2 \rightarrow CO), you can't measure it directly because the carbon will almost always continue burning all the way into Carbon Dioxide (CO2CO_2).

Instead, chemists measure safe, easy reactions (like burning COCO into CO2CO_2) and use Hess's Law to mathematically piece them together like a jigsaw puzzle to find the impossible answer.

The Mathematics of the Puzzle

ΔHtotal=ΔH1+ΔH2+ΔH3+...\begin{aligned} \Delta H_{total} = \Delta H_1 + \Delta H_2 + \Delta H_3 + ... \end{aligned}

Where:
ΔHtotal\Delta H_{total}=
Total Reaction Enthalpy
ΔHn\Delta H_n=
Enthalpy of an Intermediate Step

The Rules of Manipulation

When solving a Hess's Law puzzle, you are allowed to manipulate the intermediate steps, but you must follow two strict rules:

  1. If you reverse a reaction: You must flip the sign of its Enthalpy (++ becomes -).
  2. If you multiply a reaction by a coefficient (e.g., n=2n=2): You must multiply its Enthalpy by that exact same coefficient.

Frequently Asked Questions

That is perfectly fine. You simply multiply the equation by a coefficient of n=0.5n = 0.5, which means you also divide the Enthalpy value by exactly half.

If a chemical appears as a Product in Step 1, but is completely consumed as a Reactant in Step 2, it is an 'intermediate'. It never appears in the final overall reaction, so it algebraically cancels out of the total summation.

No! Because Entropy (ΔS\Delta S) and Gibbs Free Energy (ΔG\Delta G) are also State Functions, you can use the exact same Hess's Law puzzle-solving techniques to calculate their totals as well.