Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Law of Conservation of Mass: Proposed by Antoine Lavoisier, it states that in any physical or chemical change, the total mass of the products is equal to the total mass of the reactants. Matter can neither be created nor destroyed ().
Law of Definite Proportions: Proposed by Joseph Proust, it states that a given chemical compound always contains its component elements in a fixed ratio by mass, regardless of its source or method of preparation. For example, always contains Hydrogen and Oxygen in a mass ratio.
Law of Multiple Proportions: Proposed by John Dalton, it states that if two elements combine to form more than one compound, the masses of one element that combine with a fixed mass of the other element are in the ratio of small whole numbers.
Gay Lussac’s Law of Gaseous Volumes: When gases combine or are produced in a chemical reaction, they do so in a simple ratio by volume, provided all gases are at the same temperature and pressure.
Avogadro’s Law: Proposed by Amedeo Avogadro, it states that equal volumes of all gases at the same temperature and pressure should contain an equal number of molecules ().
📐Formulae
\text{Mass % of an element} = \frac{\text{Mass of that element in the compound}}{\text{Molar mass of the compound}} \times 100
💡Examples
Problem 1:
Carbon combines with Oxygen to form two compounds, and . In , of Carbon reacts with of Oxygen. In , of Carbon reacts with of Oxygen. Show that these data illustrate the Law of Multiple Proportions.
Solution:
- In , mass of Oxygen that combines with of Carbon = .
- In , mass of Oxygen that combines with of Carbon = .
- The mass of Carbon is fixed at in both cases.
- The ratio of the masses of Oxygen is , which simplifies to .
Explanation:
Since is a simple whole-number ratio, it confirms the Law of Multiple Proportions, which states that when one element's mass is fixed, the other element's masses will be in a simple ratio.
Problem 2:
of Hydrogen gas () reacts with of Oxygen gas () to form water vapor (). What is the volume of water vapor produced at the same temperature and pressure, and which law does this follow?
Solution:
The balanced chemical equation is: According to the stoichiometry and Gay Lussac's Law: volumes of react with volume of to produce volumes of . Given and : Volume of produced = .
Explanation:
This follows Gay Lussac's Law of Gaseous Volumes, which states that the volumes of reactants and products (if gaseous) are in a simple whole-number ratio ( in this case).