Question

At what temperature the RMS velocity of SO2 be same as that of O2 at 303 K

• A. 273 K
• B. 606 K
• C. 303 K
• D. 403 K

Answer 1

The correct option is B

606 K

$\frac{U_{S{O}_2}}{U_{O_2}}=\sqrt{\frac{M_{O_2}{T}_{S{O}_2}}{M_{S{O}_2}{T}_{O_2}}}=\sqrt{\frac{32x}{64x}\frac{T_{S{O}_2}}{303}}=1$

$1=\frac{32x}{64}\frac{T_{S{O}_2}}{303}\Rightarrow T_{S{O}_2}=606$