# Ideal Gas Laws

## Particles in a ideal gas:

• Have no volume
• Have elastic collisions
• Are in constant, random, straight-line motion
• Don’t attract or repel each other
• Have an average KE directly related to kelvin temperature

## Particles in a real gas

• Have their own volume
• Attract each other

## Gas behaviour is most ideal:

• At low pressures
• At high temperatures
• In nonpolar atoms/molecules

## Gas Laws

### Boyle's law

The pressure & volume of a gas are inversely proportional to each other when temperature & mass remain constant

$$x_{n+1} + x_{n+2}$$

Equal volume of any gas at same temperature & pressure will have the same number of molecules

$$\frac{V_1}{n_1}=\frac{V_2}{n_2}$$

### Charles's law

The volume & absolute temperature of a gas are directly proportional at constant mass & pressure

$$\frac{V_1}{T_1}=\frac{V_2}{T_2}$$

### Gay-Lussac's law

Pressure is proportional to absolute temperature with constant mass and volume $$P \propto T$$