Derive the ideal gas equation by combining the empirical gas laws.

Explanation

(i) Boyle's law `V prop (1)/(p)`
(ii) Charles law `V prop T`
(iii) Avogadro's law `V alpha n`
By combining 1,2,3
`V prop (nT)/(P) " ".....(4)`
`V=(nRT)/(P)" "....(5)`
where, R is the proportionality constant called universal gas constant.
The above equation can be rearranged to give the ideal gas eqation
`VP=nRT " "....(6)`