Question:medium

In van der Waals' equation of gaseous state, the constant 'b' is a measure of

Show Hint

'b' is also known as the excluded volume. For ideal gases, 'b' is zero.
Updated On: May 24, 2026
  • volume occupied by the molecules
  • intermolecular repulsions
  • intermolecular attraction
  • pressure correction
Show Solution

The Correct Option is A

Solution and Explanation

To solve this question, let's understand the van der Waals' equation for real gases. The equation is given by:

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

Where:

  • \(P\) is the pressure of the gas.
  • \(V\) is the volume of the gas.
  • \(n\) is the number of moles of the gas.
  • \(R\) is the universal gas constant.
  • \(T\) is the temperature of the gas.
  • \(a\) and \(b\) are constants specific to each gas.

The constant \(b\), in this equation, accounts for the finite volume occupied by the gas molecules. In real gases, molecules occupy space, and they cannot be compressed beyond a certain limit. This volume occupied by the molecules is represented as \(nb\) in the equation.

Now let's analyze each option:

  • Volume occupied by the molecules: Correct, as explained, \(b\) accounts for the finite size or volume occupied by the gas molecules themselves.
  • Intermolecular repulsions: While \(b\) indirectly relates to the size of molecules, which could influence repulsions, it mainly represents the finite volume.
  • Intermolecular attraction: This is accounted for by the constant \(a\) in the equation, which corrects for attractive forces between molecules.
  • Pressure correction: The pressure correction in the van der Waals equation is given by \(\left( P + \frac{an^2}{V^2} \right)\), which involves the constant \(a\), not \(b\).

Therefore, the correct answer is that the constant 'b' measures the volume occupied by the molecules.

Was this answer helpful?
0