Derive the Ideal gas equation PV = nRT.

Solution -

The ideal gas equation is:

pV=nRT

It can be obtained by the combination of Boyle’s law, Charles’ law and Avogadro law
Boyle’s law: V ∝ …(At constant T and n)
Charles’ law: V ∝ T …(At constant p and n)
Avogadro law: V ∝ n …(At constant p and T)
By combining the above three laws, we have

where R is the proportionality constant, known as Universal Gas Constant