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Mathematical Relationships between P, V, and T

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Presentation on theme: "Mathematical Relationships between P, V, and T"— Presentation transcript:

1 Mathematical Relationships between P, V, and T

2 Marshmallow & Bell Jar demo!

3 Pressure and Volume: Boyle’s Law
Pressure and volume are inversely (indirectly) proportional to each other If pressure goes up, what happens to volume? P1V1 = P2 V2

4 What variables must remain the same in order for this equation to work?
Temperature amount of gas particles

5 What kind of relationship is there between temperature and volume
What kind of relationship is there between temperature and volume? (Direct or inverse?)

6 Skinny Egg!

7 Charles’ Law: If pressure and the number of particles of gas stay the same, the volume is directly proportional to the Kelvin temperature.

8 What was the relationship between Pressure and temperature
What was the relationship between Pressure and temperature? (Direct or inverse?)

9 Gay-Lussac’s Law P1 P2 T1 T2 =
If volume and the number of gas particles remain the same, the pressure is proportional to the Kelvin temperature. P1 P2 T1 T2 =

10 Combined Gas Law Increase Decrease
When more than two gas variables change at once Example: balloon rising into the sky What would happen to the balloon volume according to Boyle’s law? What would happen to the balloon volume according to Charles’ law? Conflicting outcomes: Will the balloon expand or shrink? Increase Decrease

11 Combined Gas Law If you know the relationship among temperature (T), pressure (P), and volume (V) of a gas, you can determine the volume of the gas for other pressures and temperatures.


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