Atoms and Molecules • Topic 1 of 3

Laws of Chemical Combination & Dalton's Theory

Long before anyone could see an atom, chemists noticed that elements combine in fixed, predictable amounts. These regular patterns were summed up in the laws of chemical combination, and they later became the launch pad for the atomic theory of matter. Two of these laws form the backbone of this chapter.

Law of Conservation of Mass

This law was stated by the French chemist Antoine Lavoisier. It says that mass can neither be created nor destroyed in a chemical reaction. In other words, the total mass of the reactants is always equal to the total mass of the products. If 12 g of carbon burns in 32 g of oxygen, exactly 44 g of carbon dioxide is formed — not a milligram more or less. This is why a chemical equation must always be balanced: the same number of atoms of each element must appear on both sides.

Law of Constant (Definite) Proportions

Proposed by Joseph Proust, this law states that a pure chemical compound always contains the same elements combined in the same fixed ratio by mass, no matter where it comes from or how it is made. Water from a river, from rain, or made in a laboratory always has hydrogen and oxygen in the mass ratio 1 : 8. Pure carbon dioxide always has carbon and oxygen in the ratio 3 : 8. The source does not matter — the proportion stays constant.

Dalton's Atomic Theory

In 1808 John Dalton explained these laws with a single bold idea: matter is made of tiny indivisible particles called atoms. The main postulates are:

  • All matter is made of very small particles called atoms.
  • Atoms cannot be created, destroyed or divided into smaller parts (in a chemical reaction).
  • All atoms of a given element are identical in mass and properties.
  • Atoms of different elements have different masses and properties.
  • Atoms combine in small whole-number ratios to form compounds.
  • The relative number and kind of atoms in a compound are always fixed.

Notice how neatly the theory explains the laws. Because atoms are merely rearranged (not created or destroyed) in a reaction, mass is conserved. Because a compound always has the same atoms in the same whole-number ratio, its elements are always in the same fixed mass ratio — the law of constant proportions. Dalton's idea that atoms of the same element are identical is now known to be only partly true (isotopes exist), but his theory was the first real model of the atom and it still guides how we write formulae and balance equations today.

Law of conservation of mass: 12 g carbon + 32 g oxygen gives 44 g carbon dioxideC: 12 gO₂: 32 gCO₂44 g12 + 32 = 44 g (mass conserved)Reactants mass = Products mass
1
Worked Example
In a reaction, 5.3 g of sodium carbonate reacted with 6.0 g of ethanoic acid. The products were 2.2 g of carbon dioxide, 0.9 g of water and 8.2 g of sodium ethanoate. Show that the law of conservation of mass holds.
Solution
  1. Total mass of reactants = 5.3 + 6.0 = 11.3 g.
  2. Total mass of products = 2.2 + 0.9 + 8.2 = 11.3 g.
  3. Mass of reactants = mass of products = 11.3 g.

Answer: Both sides equal 11.3 g, so the law of conservation of mass is verified.

2
Worked Example
Carbon and oxygen combine to form carbon dioxide in the mass ratio 3 : 8. How much oxygen is needed to react completely with 9 g of carbon?
Solution
  1. By the law of constant proportions, C : O = 3 : 8 by mass.
  2. 3 g of carbon needs 8 g of oxygen, so 1 g of carbon needs 8/3 g of oxygen.
  3. 9 g of carbon needs (8/3) × 9 = 24 g of oxygen.

Answer: 24 g of oxygen is required.

3
Worked Example
In water, hydrogen and oxygen are present in the mass ratio 1 : 8. Find the mass of oxygen present in 36 g of water.
Solution
  1. H : O = 1 : 8, so total parts = 1 + 8 = 9.
  2. Fraction of oxygen = 8/9 of the total mass.
  3. Mass of oxygen = (8/9) × 36 = 32 g.

Answer: 36 g of water contains 32 g of oxygen.

4
Worked Example
Copper oxide always contains copper and oxygen in the ratio 4 : 1 by mass. If 10 g of copper oxide is decomposed, find the masses of copper and oxygen obtained.
Solution
  1. Cu : O = 4 : 1, so total parts = 4 + 1 = 5.
  2. Mass of copper = (4/5) × 10 = 8 g.
  3. Mass of oxygen = (1/5) × 10 = 2 g.

Answer: 8 g of copper and 2 g of oxygen.

5
Worked Example
In two separate experiments, sample A gave 1.5 g of carbon and 4.0 g of oxygen in carbon dioxide, while sample B gave 3.0 g of carbon and 8.0 g of oxygen. Show that the data agree with the law of constant proportions.
Solution
  1. Sample A ratio C : O = 1.5 : 4.0 = 3 : 8.
  2. Sample B ratio C : O = 3.0 : 8.0 = 3 : 8.
  3. Both samples give the same fixed mass ratio 3 : 8.

Answer: Both samples have C : O = 3 : 8, confirming the law of constant proportions.

6
Worked Example
Which postulate of Dalton's atomic theory explains the law of conservation of mass, and how?
Solution
  1. Dalton stated that atoms cannot be created or destroyed in a chemical reaction.
  2. In a reaction, atoms are only rearranged into new combinations.
  3. Since the same atoms (and hence the same total mass) are present before and after, mass is conserved.

Answer: The postulate that atoms are neither created nor destroyed, only rearranged, explains conservation of mass.

Key Points

  • Law of conservation of mass (Lavoisier): in a chemical reaction, total mass of reactants = total mass of products.
  • Law of constant proportions (Proust): a pure compound always has the same elements in the same fixed mass ratio.
  • Water always has H : O = 1 : 8; carbon dioxide always has C : O = 3 : 8 by mass.
  • Dalton's atomic theory: matter is made of indivisible atoms; atoms of one element are identical; atoms combine in small whole-number ratios.
  • Dalton's theory explains both laws — atoms are only rearranged (mass conserved) and combine in fixed ratios (constant proportions).
Tap an option to check your answer0 / 4
Q1.The law of conservation of mass was given by:
Explanation: Antoine Lavoisier established that mass is neither created nor destroyed in a chemical reaction.
Q2.In water, hydrogen and oxygen are always combined in the mass ratio:
Explanation: Water always contains H and O in the fixed mass ratio 1 : 8, as required by the law of constant proportions.
Q3.Which of these is NOT a postulate of Dalton's atomic theory?
Explanation: Dalton said atoms cannot be created or destroyed in a chemical reaction — they are only rearranged.
Q4.8 g of oxygen reacts completely with 1 g of hydrogen to give 9 g of water. This best illustrates:
Explanation: The 1 : 8 ratio shows constant proportions, and 1 + 8 = 9 g shows mass conservation — both laws are illustrated.