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. No mass is lost or gained: .
Law of Definite Proportions (Constant Composition): 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 a ratio of small whole numbers. Examples include and .
Law of Reciprocal Proportions: Proposed by Jeremias Richter, it states that if two different elements and combine separately with a fixed mass of a third element , the ratio of the masses in which they do so is either the same or a simple multiple of the ratio in which and combine with each other.
Gay Lussac’s Law of Gaseous Volumes: When gases react together, they do so in volumes which bear a simple whole-number ratio to one another and to the volumes of the products (if gaseous), provided all gases are measured at the same temperature and pressure.
Avogadro’s Law: Under the same conditions of temperature and pressure, equal volumes of all gases contain an equal number of molecules ().
📐Formulae
💡Examples
Problem 1:
Carbon combines with Oxygen to form two oxides, and . In , the ratio of is , and in , it is . Show that this follows the Law of Multiple Proportions.
Solution:
In , g of Carbon reacts with g of Oxygen. In , g of Carbon reacts with g of Oxygen. Keeping the mass of Carbon fixed at g, the ratio of Oxygen masses is , which simplifies to .
Explanation:
Since is a simple whole-number ratio, the Law of Multiple Proportions is verified.
Problem 2:
When of gas reacts with of gas to form water vapor, what is the volume of produced, and which law is applied?
Solution:
Reaction: . According to Gay Lussac's Law, the volume ratio is . Since and are in a ratio, they react completely to form of vapor.
Explanation:
The Law of Gaseous Volumes states that the volumes of reactants and products are in a simple whole-number ratio ( in this case).
Problem 3:
g of when heated produced g of and g of . Show that these results illustrate the Law of Conservation of Mass.
Solution:
Mass of reactant () = g. Total mass of products = .
Explanation:
Since the mass of the reactant ( g) equals the sum of the masses of the products ( g), the Law of Conservation of Mass is satisfied.