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

Using the equation of state pV= nRT show that at a given temperature,

1.	Using the equation of state pV= nRT show that at a given temperature, the density of the gas is proportion a to gas the gas pressure P.
Answer» Solution :According to ideal gas equation. `PV= NRT or P=(nRT)/(V)` `N=("MASS of gas"(m))/("Molar massof gas"(M))` `P=(mRT)/(mV)` Now, density `(d)=(m)/(v) or P=(dRT)/(M)` `(d prop P)` at CONSTANT temperature.