Question

At what temperature will the oxygen molecules have the same rms as $H_2$ at $300K$?

• A. $4800K$
• B. $3600K$
• C. $5000K$
• D. $8000K$

Answer 1

Answer: (A)

$V_{rms}=\sqrt{\frac{3RT}{M}}$
$T\propto M(\therefore v_{ms}$ and $R$ are constant $)$
$\frac{T_{O_2}}{T_{H_2}}=\frac{M_{O_2}}{M_{H_2}}=\frac{32}{2}=16$
$T_{O_2}=16\times 300=4800K$