what is the derivation for ideal gas equation?
Answers
Answer:
Ideal Gas Equation. where, P= pressure of the gas; V=volume of the gas; n= Number of Moles; T=Absolute temperature; R=Ideal Gas constant also known as Boltzmann Constant = 0.082057 L atm K-1 mol-1.
Explanation:
There are several ways to derive the Ideal Gas Law, but the simplest way is to use the three simple gas laws.
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