Question

The r.m.s. velocity of oxygen molecule at $16^{\circ} C$ is 474 m/sec. The r.m.s. velocity in m/s of hydrogen molecule at $127^{\circ } C$ is

• A. 1603
• B. 1896
• C. 2230.59
• D. 2730

Answer 1

Answer: (C)

2230.59

Answer 2

$v_{oxg} = \sqrt{\frac{3R \times289}{32}} \left(v_{rms} = \sqrt{\frac{3RT}{M}}\right)$ $v_{H} = \sqrt{\frac{3R \times400}{2}}$ so $v_{H} =2230.59\, m/\sec$