Student Services >> Learning Assistance Center >> Study Skills Handouts >> Combined Gas Law

Five gas laws are commonly used in the General Chemistry courses at Eastfield College.  They are Boyle’s Law, Charles’ Law, Gay-Lussac’s Law, The Combined Gas Law, and the Ideal Gas Law.  This handout is a guide to help you understand how they are defined and also how they work.  Each Law will be defined and you will be given an example for each.

Combined Gas Law

Combined Gas Law:  For a given amount of gas the product of the Pressure and Volume is divided by its Kelvin Temperature.

P 1V 1 = P2V2
T1   
 
T2

Layman:  This is a combination of Boyle, Charles, and Gay-Lussac’s gas laws

P1V1 = P2V2   V1 = V1    P1 = P2     P1V1 = P2V2  
    T1   T1   V1   V2   
T1
 
T2
 

A certain amount of gas has a temperature of 273 K, a pressure of 2 atm and a volume of 500 ml.  How many liters of gas would you have if the pressure is 4 atm and the temperature 200 K?

P1 = 2 atm      P2 = 4 atm
T1 = 273 K     T2 = 200 K
V1 = 500 ml   V2 = ?

P1V1 = P2V2
T1
 
T2

P1V1T2 = V2
T1P2
   

V2 = (2 atm)(500ml)(200K) = 183ml = .183L
              (4atm)(273K)