How is ideal gas law derived?
AVOGADRO'S LAW states the volume of a gas is directly proportional to the number of moles.
V ∝ n
BOYLE'S LAW states that the volume of a gas is inversely proportional to its pressure.
V ∝ 1/P
CHARLES'S LAW states that the volume of a gas is directly proportional to its Kelvin temperature.
V ∝ T
If we combine these laws, we get
V ∝ nT/P
We covert the proportionality to an equality
V = knT/P
We replace k with the universal gas constant R and get
V = nRT/P
This can be rearranged to give the IDEAL GAS LAW
PV = nRT