Derive relationb between density and pressure of gas by using of Boyle.s law.

Explanation

Prove d = k.p :
density of gas `(d)=("mass of gass (m)")/("volume of gas (V)")`
`therefore V=(m)/(d) " "` ….(Eq. - vi)
According to Boyle.s law, `pV=k_(1)`
Put `V=(m)/(d)` in `pV=k_(1)`
`therefore p ((m)/(d))=k_(1) " "` .....(Eq. - vii)
`therefore d=("pm")/(k_(1))`
`therefore d=((m)/(k_(1)))p=k. p " "` ....(Eq. - viii) where, `(m)/(k_(1))=k.`
..Equation - viii indicated that at (a) constanst temperature (T) pressure (p) of fixed amount (n) of any gas is directly proportional to density (d)...