Question

The relation between the pressure (P), volume (V) and average kinetic energy (E) of a gas is

• A. \( P = \frac{E}{2V} \)
• B. \( P = \frac{3E}{2V} \)
• C. \( P = \frac{E}{3V} \)
• D. \( P = \frac{2E}{3V} \)

Hint:

For an ideal gas, the pressure and kinetic energy are related through volume, as seen in the kinetic theory of gases.

Answer 1

The Correct Option is D

The average kinetic energy \( E \) of a gas is related to its temperature and volume. The relationship between pressure and volume can be derived from the kinetic theory of gases, and for an ideal gas, it is given by: \[ P = \frac{2E}{3V} \] Thus, the correct relation is: \[ \boxed{P = \frac{2E}{3V}} \]