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

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

1.	Using the equation of state pV=nRT, show that at a given temperature density of a gas is proportional to gas pressure p.
Answer» Solution :According to EQ: 5.17, we have `M= (dRT)/P`or `d = M/(RT)*P` For a PARTICULAR gas, at CONSTANT TEMPERATURE, `M/(RT)` is constant `d prop P` i.e., at constant temperature, density of a gas is proportional to its pressure.