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

Explanation

Calculation of moles of gas :
Gaseous mole `(n)=("Weight of gas (gm)n")/("Molecular mass of gas (M)")`
`therefore n = (m)/(M) " "` …..(Eq. - i)
where, m = weight of gas
M = molecular mass of gas
According to Avogadro law of formula :
`V = k_(4) n " "` .....(Eq. - ii)
`therefore V = k_(4)(m)/(M) " "` ...(Eq. - iii)
Thus, `M=k_(4)((m)/(V)) " "` ......(Eq. -iv)
but, `(m)/(V)=` density of gas = d
`therefore M = k_(4)d " "` .....(Eq. -v)
Derivation : ..Density of gas is directly proportional to its molecular mass...