Question

The correction factor ‘a’ to the ideal gas equation corresponds to

• A. density of the gas molecules
• B. electric field present between the gas molecules
• C. volume of the gas molecules
• D. forces of attraction between the gas molecules

Answer 1

The Correct Option is D

The correction factor ‘a’ in the ideal gas equation is associated with the forces of attraction between the gas molecules. This is a significant component in the van der Waals equation, which modifies the ideal gas law to account for the behavior of real gases.

The ideal gas law is expressed as:

PV = nRT

However, in real gases, interactions between molecules and the non-zero volume of molecules must be considered. The van der Waals equation corrects for these by introducing two parameters: 'a' and 'b'. This is represented as:

\left(P + \frac{an^2}{V^2}\right)(V - nb) = nRT

• 'a': This parameter accounts for the attractive forces between molecules. In the equation, the term \frac{an^2}{V^2} is added to the pressure (P) to correct for the intermolecular attractions. A higher value of 'a' indicates stronger intermolecular forces.
• 'b': This parameter accounts for the volume occupied by the gas molecules themselves. It corrects the volume term (V) in the equation.

Given the options:

• Density of the gas molecules: This factor is not directly related to the correction factor 'a' in the ideal gas equation.
• Electric field present between the gas molecules: The correction factor 'a' does not consider electric fields but rather intermolecular attractions.
• Volume of the gas molecules: This is addressed by the 'b' parameter, not 'a'.
• Forces of attraction between the gas molecules: This is the correct explanation for the 'a' parameter, which modifies the pressure in the van der Waals equation to account for attractive forces.

Hence, the correct answer is: forces of attraction between the gas molecules.