Derive relation between density of gases and molecular mass by using of Avogadro.s law.

Explanation

According to ideal gas equations, pV = nRT
`therefore (p)/(RT)=(n)/(V) " "` …..(Eq. -i)
but, Mole `(n) = ("Mass (m)")/("Molecular mass (M)") " "` …..(Eq. -ii)
Put value of `n =(m)/(M)` in equation -(i)
`(p)/(RT)=((m)/(V))(1)/(M)`
But, `("Mass (m)")/("Volume (V)")=` gas of density (d)
Thus, `(p)/(RT)=(d)/(M) " "` ....(Eq. - iii)
By the rearrangement of equation,
`therefore d=(pM)/(RT)` and `M=(dRT)/(p) " "` .....(Eq. -iv)
This (Eq. -iv) is indicate that molecular mass (M) is directly proportional to density (d)...