Question

Let \( \bar{v}, v_{rms}, v_p \) denote the mean speed, root mean square speed and most probable speed of molecules of mass \( m \) in an ideal monoatomic gas at temperature \( T \). Which statements are correct?

• A. No molecules can have speed greater than \( \sqrt{2}v_{rms} \)
• B. No molecules can have speed less than \( \frac{v_p}{\sqrt{2}} \)
• C. \( v_p < \bar{v} < v_{rms} \)
• D. Average kinetic energy of a molecule is \( \frac{3}{4} m v_p^2 \)

Hint:

Gas speeds:

• \( v_p < \bar{v} < v_{rms} \).
• Average KE = \( \frac{3}{2} kT \).

Answer 1

The Correct Option is C