Question

At what temperature is the root mean square velocity of gaseous hydrogen molecules is equal to that of oxygen molecules at ${47}^{\circ }C$

• A. 20 K
• B. 80 K
• C. - 73 K
• D. 3 K

Answer 1

The correct option is A

20 K

$v=\sqrt{\frac{3RT}{M}}\frac{T_O}{T_H}=\frac{M_O}{M_H}=16\Rightarrow T_H=\frac{320}{16}=20K$