Topic 10 of 19 10 min

Laws of Chemical Combinations

Learning Objectives

  • State the Law of Conservation of Mass and explain Lavoisier's experimental basis for it
  • Explain the Law of Definite Proportions and describe how Proust's cupric carbonate experiment confirmed it
  • State the Law of Multiple Proportions and apply it to the example of water and hydrogen peroxide
  • Recognise that these three laws describe fundamental patterns in how elements combine to form compounds
  • Use the Law of Multiple Proportions to identify simple whole-number ratios between combining masses
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Laws of Chemical Combinations

When elements come together to form compounds, do they just combine in any random proportion? Or is there an underlying order? Scientists spent decades answering this question through careful experiments, and what they found was remarkable: the way elements combine follows a strict set of rules. These rules are called the laws of chemical combinations (the fundamental principles that describe how elements unite to form compounds).

Five such laws were established over time. In this topic, we look at the first three.

How Mass Behaves During a Chemical Change: The Law of Conservation of Mass

In 1789, the French scientist Antoine Lavoisier set out to answer a seemingly simple question: does the total mass change when a substance undergoes a chemical reaction? To find out, he ran a series of carefully controlled experiments on combustion (burning) reactions. He measured the masses of all the reactants before each experiment and all the products after it, with extreme precision.

His finding was striking. Every single time, the total mass before the reaction matched the total mass after it. Not a gram was gained, not a gram was lost. No matter what substance he burned or how dramatic the change appeared, the mass remained constant.

From these results, Lavoisier drew a powerful conclusion: matter can neither be created nor destroyed in any physical or chemical change. The total mass stays the same throughout the process. This principle is known as the Law of Conservation of Mass.

Why was this such a big deal? Before Lavoisier, chemists did not pay close attention to exact measurements. His work showed that careful, quantitative measurement could reveal the hidden rules of chemistry. This law became the foundation for much of the chemical science that followed. It was the result of precisely planned experiments and exact measurement of masses, and it established a new standard for how chemistry should be done.

Same Compound, Same Recipe Every Time: The Law of Definite Proportions

Suppose you take a particular compound, say cupric carbonate. One batch comes from a natural mineral deposit, and another is prepared synthetically in a laboratory. Would the two samples contain the same elements in the same proportions by mass? Or could the recipe vary depending on how the compound was obtained?

The French chemist Joseph Proust answered this question with a decisive experiment. He analysed two samples of cupric carbonate (CuCO3CuCO_3), one natural and one synthetic, measuring the percentage of each element by weight. Here is what he found:

Sample% of Copper% of Carbon% of Oxygen
Natural Sample51.359.7438.91
Synthetic Sample51.359.7438.91

The numbers were an exact match. It made no difference whether the compound came from the ground or was built from scratch in a lab. Copper, carbon, and oxygen were present in exactly the same proportions.

This result, confirmed by many further experiments, led Proust to a clear conclusion: a given compound always contains exactly the same proportion of elements by weight, regardless of its source or method of preparation. This principle is called the Law of Definite Proportions. It is sometimes also referred to as the Law of Definite Composition.

Think about what this means. A compound is not just any loose combination of elements. It has a fixed recipe. Water is always H2OH_2O with the same mass ratio of hydrogen to oxygen. Carbon dioxide is always CO2CO_2 with a constant ratio of carbon to oxygen. The proportions are locked in, no matter who makes it or where.

When the Same Two Elements Form Different Compounds: The Law of Multiple Proportions

Sometimes, two elements can combine in more than one way to produce different compounds. For example, hydrogen and oxygen form both water and hydrogen peroxide. In 1803, the English scientist John Dalton asked whether there was a pattern in the amounts of one element that combined with a fixed amount of the other across these different compounds.

Consider the numbers. Hydrogen and oxygen can combine to form two different compounds:

Forming water:

Hydrogen+OxygenWater\text{Hydrogen} + \text{Oxygen} \rightarrow \text{Water} 2 g16 g18 g2 \text{ g} \qquad\qquad 16 \text{ g} \qquad\quad 18 \text{ g}

Forming hydrogen peroxide:

Hydrogen+OxygenHydrogen Peroxide\text{Hydrogen} + \text{Oxygen} \rightarrow \text{Hydrogen Peroxide} 2 g32 g34 g2 \text{ g} \qquad\qquad 32 \text{ g} \qquad\quad 34 \text{ g}

Now, keep the mass of hydrogen fixed at 2 g2 \text{ g} and look at how much oxygen combines in each case. In water, 16 g16 \text{ g} of oxygen combines. In hydrogen peroxide, 32 g32 \text{ g} of oxygen combines. Take the ratio of these two oxygen masses:

16:32=1:216 : 32 = 1 : 2

That is a beautifully simple whole-number ratio.

This is exactly what Dalton predicted. He stated: if two elements can combine to form more than one compound, the masses of one element that combine with a fixed mass of the other element are always in the ratio of small whole numbers. This is called the Law of Multiple Proportions.

What makes this law so elegant is that it reveals order even in variety. The same pair of elements can produce different compounds, but the proportions in which they combine are not arbitrary. They follow clean, simple numerical patterns every time.