Question

At what temperature (in kelvin) is the rms speed of hydrogen molecules the same as oxygen molecules at $1327\text{℃}$ ?

Answer 1

Answer: 100

$v_{H2}=v_{O2}$

$\sqrt{\frac{3R{T}_{H2}}{M{H}_2}}=\sqrt{\frac{3R{T}_{o2}}{M{O}_2}}$

$So,\sqrt{M_{O2}{T}_{H2}}=\sqrt{M_{H2}{T}_{O2}}$

$32\times T_{H2}=2\times 1600$

$T_{H2}=2\times \frac{1600}{20}=100$