The Combined Gas Law

Since , If we change one of the variables, (P, V, n, or T) then one or more of the other variables must also change.  This leads to the equation  or if the number of moles stays the same .

 

Boyle’s Law:

Boyle’s Law examines the effect of changing volume on Pressure.  To isolate these variables, temperature must remain constant.  We can eliminate temperature from both sides of the equation and we are left with P1V1= P2V2

Sample Problem:  A piston with a volume of gas of 1.0 m3 at 100 kPa is compressed to a final volume of 0.50 m3.  What is the final pressure?

 

 

P1 is 100 kPa

V1 is 1.0 m3

V2 is 0.50 m3

P2 is unknown

 

P1V1= P2V2 becomes

Charles’s Law

Charles’s Law examines the effect of changing temperature on volume. To isolate these variables, pressure must remain constant.

 so Charles’s law is

 

Sample problem: A piston with a volume of gas of 1.0 m3 at 273 K is cooled to a temperature of 136.5 K ?  What is the final volume? (Assume pressure is kept constant.)

 

 

P1 is 100 kPa

V1 is 1.0 m3

V2 is 0.50 m3

P2 is unknown

 

P1V1= P2V2 becomes

 

 

 

 

 

 

 Charles law Applet  See what happens when you increase temperature.  Increasing temperature __________ pressure.