The r.m.s. velocity of oxygen molecule at 16° C is 474 m/sec. The r.m.s. velocity in m/s of hydrogen molecule at 127° C is

Question

The r.m.s. velocity of oxygen molecule at 16° C is 474 m/sec. The r.m.s. velocity in m/s of hydrogen molecule at 127° C is (A) 1603 (B) 1896 (C) 2230.59 (D) 2730

Tardigrade Admin · Accepted Answer

voxg = √(3R ×289/32) (vrms = √(3RT/M)) vH = √(3R ×400/2) so vH =2230.59 m/ sec

Q. The r.m.s. velocity of oxygen molecule at $1 6^{\circ} C$ is 474 m/sec. The r.m.s. velocity in m/s of hydrogen molecule at $12 7^{\circ} C$ is

1603

1896

2230.59

2730

$v_{o xg} = \frac{3 R \times 289}{32} (v_{r m s} = \frac{3 RT}{M})$
$v_{H} = \frac{3 R \times 400}{2}$ so $v_{H} = 2230.59 m / sec$

Q. The r.m.s. velocity of oxygen molecule at 16∘C is 474 m/sec. The r.m.s. velocity in m/s of hydrogen molecule at 127∘C is