This law arises as a result of the mixture of three simple laws: Boyle's law, Charles's law, and Gay-Lussac's law. Mathematically these laws describe each of the thermodynamic variables with respect to others, while the rest remain constant. For example, Boyle's law formulates that volume and pressure are inversely proportional to each other, being at a constant temperature.
Charles's law, for its part, states that the volume and the temperature will be proportional to each other, as long as the pressure is kept constant. And finally, Gay-Lussac's law states that there can be a direct proportionality between pressure and temperature, as long as the volume is kept constant.
The above shows that both Boyle's law and Charles's law can be mixed in a postulate that indicates, in turn, the dependence between the volume of a specific mass of gas, in relation to temperature and pressure.
The general ideal gas law is formulated as follows: PV / T = K. in this case P represents the pressure, V is the volume, and T is the temperature, which is expressed in Kelvin.
It is important to mention that it was Gay-Lussac himself who grouped these three laws together and ended up formulating the general equation for gases, which shows the link between pressure, volume and temperature of a specific mass of gas. This equation is the following: P * V / T = K
Regarding its application, the general ideal gas law is constantly used in mechanics that is affected by temperature, pressure and volume, as is the case of refrigerators, air conditioners, among others.