Q. At what temperature is the rms speed of hydrogen molecules the same as that of oxygen molecules at $1327℃$?
A) 173 K
B) 100 K
C) 400 K
D) 523 K
Explanation
(b)
${v_{H}}_{2} = {v_{O}}_{2}$
So, $\sqrt{{M_{O}}_{2}{T_{H}}_{2}} = \sqrt{{M_{H}}_{2}{T_{O}}_{2}}$
$32 \times {T_{H}}_{2} = 2 \times 1600$
${T_{H}}_{2} = \frac{2 \times 1600}{32}$
$= 100\ K$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.