Question

If U be the internal energy of one mole of an ideal diatomic gas of molar mass M, then root mean square speed of the gas molecules is –

• A. V_rms = $\sqrt{\frac{2U}{3M}}$
• B. V_rms = $\sqrt{\frac{2U}{M}}$
• C. V_rms = $\sqrt{\frac{6U}{5M}}$
• D. V_rms = $\sqrt{\frac{3U}{5M}}$

Answer 1

Answer: (C)

V_rms = $\sqrt{\frac{6U}{5M}}$

Answer 2

U = $\frac{5}{2}RT$

V_rms = $\sqrt{\frac{3RT}{M}}$

V_rms = $\sqrt{\frac{6U}{5M}}$