At this point, for each of the three gas laws, we have kept one aspect constant, but this is not a realistic representation of the real world. In order to fully explain the changes that occur within a gas in real life, the three separate formulae must be combined to give a combined Gas Equation.
Recap of the Three Gas Laws
Boyle's Law - Pressure v Volume
Charles' Law - Volume v Temperature
Gay-Lussac's Law - Pressure v Temperature
In order to generate the above formulae we had to set each to be equal to some constant in order to convert from a proportional relationship. This means that if we arrange each formula to be equal to this constant value, we can combine them all to form the combined formula:-
The above formula allows us to tackle any given problem covering any of the gas laws.
Example 1 -
In a car engine, air and fuel are drawn into a cylinder at atmospheric pressure ( 1.01x105 Pa ) at a temperature of 40°C. The volume of the cylinder is 200 cm3. During the compression, the air and fuel mixture is compressed into a volume of 20 cm3 at a pressure of 4.00x106 Pa. Find the temperature of the air / fuel mixture after compression.