Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The Kinetic Particle Theory states that all matter is composed of tiny particles in constant, random motion. The average kinetic energy () of these particles is directly proportional to the absolute temperature in Kelvin ().
In a solid, particles are packed in a regular lattice arrangement, vibrating about fixed positions. They have the least energy and strongest intermolecular forces.
In a liquid, particles are close together but can move past each other. They have more energy than solids and take the shape of the container's base.
In a gas, particles are far apart and move rapidly in all directions. Intermolecular forces are negligible. The pressure () of a gas is caused by the collisions of particles against the walls of the container.
Changes of state: Melting (), Freezing (), Boiling/Evaporation (), Condensation (), and Sublimation ().
During a change of state, the temperature remains constant. This is because the energy supplied is used to overcome the forces of attraction between particles rather than increasing their kinetic energy.
Diffusion is the net movement of particles from a region of higher concentration to a region of lower concentration. The rate of diffusion is faster in gases than in liquids and is affected by temperature and molecular mass ().
📐Formulae
💡Examples
Problem 1:
In an experiment to demonstrate diffusion, a glass tube is set up with a cotton wool soaked in concentrated ammonia () at one end and a cotton wool soaked in concentrated hydrochloric acid () at the other. Where will the white smoke of ammonium chloride () form?
Solution:
The white smoke of will form closer to the end of the tube.
Explanation:
The relative molecular mass of is , while the relative molecular mass of is . According to kinetic theory, lighter particles travel faster than heavier particles at the same temperature. Since has a lower , it diffuses faster and covers a greater distance than in the same amount of time.
Problem 2:
A sample of gas occupies a volume of at a pressure of . If the temperature is kept constant, calculate the new pressure if the volume is compressed to .
Solution:
Explanation:
Boyle's Law states that for a fixed mass of gas at constant temperature, pressure is inversely proportional to volume (). When the volume decreases by a factor of 4, the pressure must increase by a factor of 4.