### Understanding States of Matter:
- Solids: Fixed shape and volume.
- Liquids: Take the shape of the container but have a fixed volume.
- Gases: Expand to fill the container completely.
### Properties of Gases:
- Pressure (P): Force exerted by gas particles on the container walls.
- Volume (V): The space occupied by the gas.
- Temperature (T): Measure of kinetic energy of gas particles.
- Quantity (n): Amount of gas present (measured in moles).
### Boyle's Law (P1V1 = P2V2):
- Definition: At constant temperature, pressure and volume are inversely proportional.
- Formula: P1V1 = P2V2 (when T is constant).
- Example: If volume increases, pressure decreases.
- Demonstration: Syringe and marshmallow experiment.
### Problem-Solving with Boyle's Law:
1. Identify given values (P1, V1, P2, or V2).
2. Use the formula P1V1 = P2V2.
3. Solve for the unknown variable.
### Charles's Law (V1/T1 = V2/T2):
- Definition: At constant pressure, volume and temperature are directly proportional.
- Formula: V1/T1 = V2/T2 (T in Kelvin).
- Example: Hot air balloons expand when heated.
- Implication: Increasing temperature increases volume.
### Real-World Applications:
- Boyle's Law: Breathing process, scuba diving.