Which Law of Physics defines the relationship between the pressure and volume of an ideal gas?
Ideal gas law Ideal gas law The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. It was first stated by Émile Clapeyron in 1834 as a combination of the empirical Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law. The ideal gas law is often written as where formula_2, formula_3 and formula_4 are the pressure, volume and absolute temperature; formula_5 is the number of moles of gas; and formula_6 is the ideal gas
Ideal gas law law and the ideal gas assumption, the net force of the system is the force applied by the walls of the container, and this force is given by the pressure "P" of the gas. Hence where dS is the infinitesimal area element along the walls of the container. Since the divergence of the position vector q is the divergence theorem implies that where "dV" is an infinitesimal volume within the container and "V" is the total volume of the container. Putting these equalities together yields which immediately implies the ideal gas law for "N" particles: where "n" = "N"/"N" is