Using the equation of state `pV=nRT`, show that at a given temperature the density of gas is proportional to gas pressure `p`.

Explanation

According to ideal gas equation :
`PV = nRT` or `P = (nRT)/(V) , n = ("Mass of gas (m)")/("Molar mass of gas (M)")`
`P = (mRT)/(MV) = (rhoRT)/(M)` , (where `rho` (density) `= M/V`)
Now, `rho prop P` at a constant temperature.