Test: Liquefaction of Gases - ACT MCQ

Boyle’s temperature TB is given by a/Rb critical temperature TC is given by 8a/27Rb, where a is the pressure correction term and b is a volume correction term as per van der Waal’s equation. So Boyle’s temperature is greater than the critical temperature.

A fluid is a gas or liquid that can be used to recognize the continuity. The fluid is something deforms under shear stress application and flows from one place to another, it is also a subset of States of matter.

The value of an in van der Waals equation is a measure of the magnitude of intermolecular attractive forces within a gas. It is independent of temperature and pressure. As attractive forces are more, the gas can be liquefied easily.

From van der Waal’s equation (P – an²/V²)(V – nb) = nRT, we know that V = b/NA = 42.69 x 10^-6m³/mol/6.023 x 1023 molecules/mol. That equals 7.09 m³/molecule. So the volume of a molecule is 7.09m³.

Boyle’s temperature T_b is given a/Rb, where a and b are the van der Waal’s constants for pressure and volume correction. The temperature till which a gas behaves like an ideal gas is Boyle’s temperature.

The critical temperature of carbon dioxide is a maximum temperature where the carbon dioxide can remain as a liquid below this temperature. The carbon dioxide is gas so the critical temperature for Carbon dioxide is 30.98 degrees centigrade.

The maximum temperature gas can remain liquid is known as critical temperature. The temperature till which a gas behaves like an ideal gas is Boyle’s temperature. Boyle’s temperature T_B is given by a/Rb critical temperature T_c is given by 8a/27Rb. So the ratio is 8/27.

At critical temperature liquid state changes into gaseous state continuously the surface that separates both this state disappears and gas below critical temperature can be liquefied by applying pressure and this is called vapor of the substance.

From van der Waal’s equation (P – an²/V²)(V – nb) = nRT, we have that units of volume and number of moles x b are same. So L = mol x b; units of b is L/mol otherwise can be written as m³/mol.

In the van der Waal’s equation (P – an²/V²)(V – nb) = nRT, b is the volume correction term and is 4 times as the volume of a molecule. The letter a is the pressure correction term in the van der Waal’s equation.