Derive ideal gas equation.

Explanation

Ideal gas equation can be derived by combining following gas laws :
i) Boyle.s law
ii) Charles. law
iii) Avogadro.s law.
According to Boyle.s law, `V prop (1)/(p)` (Temperature constant) `" " ....(i)`
According to Charles. law, `Vprop T` (Pressure constant) `" " ...(ii)`
According to Avogadro.s law, `V prop n` (Temperature and pressure constant) `" " ...(iii)`
By combining equations (i), (ii) and (iii), we get
`V prop (nT)/(p) or pV prop nT rArr pV = nRT " " ...(iv)`
Where, R = Proportionality constant or universal gas constant
p = Pressure of gas
V = Volume of gas
T= Temperature of gas
n = Number of moles of gas
Equation (iv) is called an ideal gas equation,