Question

At what temperature most probable speed of $S{O}_2$ molecules have the same value of root mean square speed of $O_2$ molecules at $300K$?

• A. $150K$
• B. $600K$
• C. $750K$
• D. $900K$

Answer 1

The correct option is D $900K$

$\sqrt{\frac{2RT}{M_{S{O}_2}}}=\sqrt{\frac{3R\times T_1}{M_{O_2}}}\Rightarrow \frac{2\times T}{64}=\frac{3\times 300}{32}\Rightarrow T=900K$