At what temperature (K) will O₂ molecules have the same rms speed as H₂ molecules at 127°C? M(O₂)=32 g/mol, M(H₂)=2 g/mol.
Physics · Mixed Chapter
JEE Main Practice

Question

At what temperature (K) will O₂ molecules have the same rms speed as H₂ molecules at 127°C? M(O₂)=32 g/mol, M(H₂)=2 g/mol.

G1 Physics · Accepted Answer

Step 1: vᵣₘₛ=√(3RT/M). Equality of speeds requires Toxygen/Moxygen=Thydrogen/Mhydrogen. Step 2: Hydrogen temperature=127+273=400 K. Step 3: Toxygen=400×(32/2)=6400 K.