Question

The correct equation for one mole of a real gas is (a, b are constants)

• A. \( p + \frac{a}{v^2} \) \left( V-b \right) = RT
• B. \( p + \frac{a}{v^2} \) (V + b) = RT
• C. \( p - \frac{a}{v^2} \) (V - b) = RT
• D. \( p + \frac{a}{v^2} \) (V - b) = RT

Hint:

Remember that Van der Waals equation is used to describe real gases, where the ideal gas law fails due to intermolecular forces and molecular volume.

Answer 1

The Correct Option is D

This is the Van der Waals equation, which accounts for real gas behavior by modifying the ideal gas law. Here: - \( a \) accounts for intermolecular forces (attraction), - \( b \) accounts for the volume occupied by gas molecules. The correct form of the equation is \( p + \frac{a}{v^2} \) (V - b) = RT, where \( p \) is the pressure, \( V \) is the volume, and \( T \) is the temperature.