Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Matter is made up of tiny particles which are in continuous motion. The state of matter (Solid, Liquid, or Gas) is decided by the competition between two factors: Intermolecular Force of Attraction and Kinetic Energy of particles.
Intermolecular Force of Attraction (): This force tends to keep the particles together. In solids, this force is strongest, while in gases, it is weakest.
Intermolecular Space (): This is the empty space between particles. It is minimum in solids (), moderate in liquids (), and maximum in gases ().
Kinetic Energy (): Particles possess energy due to their motion. is directly proportional to the temperature (). As temperature increases, increases, allowing particles to overcome attractive forces.
Solids: Particles are tightly packed because is very high and is low. Particles only vibrate about their fixed positions.
Liquids: Particles have enough to move around each other but not enough to escape the bulk. is intermediate.
Gases: Particles have very high and negligible , allowing them to move randomly in all directions and occupy all available space.
Phase Change: By changing temperature or pressure, we can change the state. Increasing temperature increases , which leads to melting or vaporization.
📐Formulae
💡Examples
Problem 1:
A sample of gas is at . Convert this temperature into the Kelvin scale.
Solution:
Explanation:
To convert Celsius to Kelvin, we add to the Celsius value as per the SI unit standards.
Problem 2:
Compare the density of a substance in its solid and gaseous states if the mass remains constant at but the volume increases from (solid) to (gas).
Solution:
Density of solid: Density of gas:
Explanation:
Since particles in gases are far apart (large intermolecular space), the volume is much higher, leading to a significantly lower density compared to solids.
Problem 3:
A substance undergoes a temperature change. If the initial temperature was and it was cooled by , what is the final temperature in Celsius?
Solution:
Final Temperature in . In Celsius:
Explanation:
We first find the final Kelvin temperature using subtraction and then convert it back to Celsius using the formula .