Question

Pressure of ideal gas at constant volume is proportional to _______.

• A. average potential energy of the molecules
• B. total energy of the gas.
• C. average kinetic energy of the molecules
• D. force between the molecules

Answer 1

The Correct Option is C

Given: 

• An ideal gas is kept at constant volume.

Step 1: Understanding Pressure in Terms of Molecular Motion

According to the kinetic theory of gases, the pressure of an ideal gas is given by:

\[ P = \frac{2}{3} \left( \frac{N}{V} \right) E_k \]

where \( E_k \) is the average kinetic energy of the molecules.

Step 2: Identifying the Correct Answer

From the equation above, we see that pressure is directly proportional to the average kinetic energy of the molecules.

Answer: The correct option is C.