Match the following :

        List -I                               List-II

A) Boyle’s law	1)  ${\mathrm{P}}_{\mathrm{obs}}={\mathrm{P}}_{\mathrm{atm}}+{\mathrm{P}}_{\mathrm{water} \mathrm{vapour}}$
​B) Avogadro law	2) ${\mathrm{V}}_1={\mathrm{n}}_1\left(\frac{{\mathrm{V}}_2}{{\mathrm{n}}_2}\right)$
C) Charles law	3) ${\mathrm{V}}_{\mathrm{t}}={\mathrm{V}}_0\left(1+\frac{\mathrm{t}}{273}\right)$
D)Dalton’s law	4) ${\mathrm{V}}_1={\mathrm{P}}_2\left(\frac{{\mathrm{V}}_2}{{\mathrm{P}}_1}\right)$

Given data: Laws and their formulas match the options

Concepts used: Laws of gas molecules

Detailed solution:

Boyle's law states that constant temperature, PV= constant

∴${\mathrm{V}}_1={\mathrm{P}}_2\left(\frac{{\mathrm{V}}_2}{{\mathrm{P}}_1}\right)$

​Avogadro's law states that the same volumes of all gasses, at the same temperature and pressure, have the same number of molecules.

∴ ${\mathrm{V}}_1={\mathrm{n}}_1\left(\frac{{\mathrm{V}}_2}{{\mathrm{n}}_2}\right)$

​Charles law states that the volume settled by a fixed amount of gas is directly proportional to its absolute temperature if the pressure remains constant.

   ${\mathrm{V}}_{\mathrm{t}}={\mathrm{V}}_0\left(1+\frac{\mathrm{t}}{273}\right)$

Dalton's law states that change in vapour pressure is the addition of vapour pressure of individual components.

∴ ${\mathrm{P}}_{\mathrm{obs}}={\mathrm{P}}_{\mathrm{atm}}+{\mathrm{P}}_{\mathrm{water} \mathrm{vapour}}$

Therefore, the correct option is D.