Question

Compressibility factor for an ideal gas will be equal to ______.

Answer 1

Hint: Compressibility factor is a quantity which relates a real gas to an ideal gas to determine its deviation from ideal behaviour.

Complete step by step answer: The change in density of a fluid due to application of pressure is called its compressibility. We consider both gases and liquids under fluids. It is the measure of how much a given gas shows deviation from ideal behaviour at similar temperature and pressure. It is denoted by ‘Z’.
But for an ideal gas
\[{\text{pV = nRT}}\]
\[{\text{Z = }}\dfrac{{{\text{pV}}}}{{{\text{nRT}}}}\]
So, for an Ideal gas the compressibility factor = 1.
The value of Z increases with rise in pressure and reduces with fall in temperature.

Additional information:
The ideal gas equation states that the product of pressure & volume of a gas bears a constant relation with the product of Universal gas constant and the temperature. \[{\text{pV = nRT}}\]
And compressibility factor \[{\text{Z = }}\dfrac{{{\text{pV}}}}{{{\text{nRT}}}}\]
If Z = 1, the gas is said to be ideal.
If \[{\text{Z }} \ne {\text{ 1}}\] the gas is said to be non-ideal.
If \[{\text{Z }} < {\text{ 1}}\] the gas is said to have positive deviation from ideal behaviour and is less compressible.
If \[{\text{Z }} > {\text{ 1}}\] the gas is said to have negative deviation from ideal behaviour and is more compressible.

Note: Compressibility factor is simply defined as the ratio of the molar volume of a real gas to the molar volume of an ideal gas at the same temperature and pressure.