1. Combined Gas Law Avogadro’s Principle

2. 2-Variable Gas Laws Boyle’s Law: Charles’s Law: Gay-Lussac’s Law:
P1V1 = P2V2
Charles’s Law:
𝑉1 𝑇1 = 𝑉2 𝑇2
Gay-Lussac’s Law:
𝑃1 𝑇1 = 𝑃2 𝑇2

3. Combined Gas Law P1V1 T1 = P2V2 T2
Combine the relationships of the 3 gas laws to relate Pressure, Temperature, and Volume for a fixed amount of gas
P1V1 T1 = P2V2 T2

4. Combined Gas Law Example
A gas at 110 kPa and 30.0°C fills a flexible container with an initial volume of 2.0 L. If the temperature is raised to 80.0°C and the pressure increased to 440 kPa, what is the new volume?

5. Avogadro’s Principle V1 n1 = V2 n2
Equal volumes of gases at the same temperature and pressure contain equal numbers of particles.
V1 n1 = V2 n2
1 mole of any gas occupies a volume of 22.4 L at STP.

6. Avogadro’s Principle Example
Calculate the volume that moles of any gas at STP will occupy.