Question

The ratio between the r.m.s velocity of $H_2$ at 50 K and that of $O_2$ at 800 K

• A. 4
• B. 2
• C. 1
• D. $\frac{1}{4}$

Answer 1

The correct option is C 1

$V_{nms}=\sqrt{\frac{3RT}{m}}\to \frac{(v_{rms}{)}_{H_2}}{(v_{rms}{)}_{O_2}}=\sqrt{\frac{3R{T}_1}{m_{H_2}}\times \frac{m_{O_2}}{3R{T}_2}}=\sqrt{\frac{50K}{2}\times \frac{32}{800K}}=1$