#Kinetic Molecular Theory & Maxwell-Boltzmann Distributions 🚀

Hey there, future AP Chem master! Let's dive into the world of ideal gases and the amazing Kinetic Molecular Theory (KMT). This is your go-to guide for acing those tricky gas questions, especially the night before the exam. Remember, you've got this!

This topic is crucial for understanding gas behavior and often appears in both multiple-choice and free-response questions. It's a foundational concept, so make sure you nail it!

# Kinetic Molecular Theory (KMT)

Ideal gases are theoretical gases that perfectly follow the ideal gas law. The KMT helps us understand their behavior. Think of it as the rulebook for ideal gas particles. ♨️

Fun Fact: Real gases behave most ideally under PLIGHT conditions: Pressure Low, Ideal gas behavior, High Temperature. H2 and He are the closest to ideal due to their small size and non-polarity.

#Kinetic Energy (KE)

Remember, temperature is directly linked to the average kinetic energy of particles. As temperature goes up, particles move faster. This is key to understanding gas behavior! 🏃

$$KE = \frac{1}{2}mv^2$$

• m = mass of the molecule (kg)
• v = speed of the molecule (m/s)
• KE is measured in joules
• This formula is on the reference sheet, but understanding it is crucial!

All particles are in constant, random motion. The speed depends on temperature and other conditions. It's like a tiny, chaotic dance floor in every substance!

#The Five Assumptions of KMT

Here are the core ideas of the Kinetic Molecular Theory:

1. No attractive or repulsive forces: Gas particles don't attract or repel each other.
2. Negligible volume: Gas particles are tiny and far apart, so their volume is considered zero.
3. Random, straight-line motion: Gas particles move randomly in straight lines until they collide.
4. Elastic collisions: When particles collide, they transfer energy without any net loss.
5. KE and velocity are related: KE = 1/2mv^2; all gases have the same average KE at a given temperature.

![Kinetic Molecular Theory](https://zupay.blob.core.windows.net/resources/files/0baca4f698004192...