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Nitrogen gas is at 300°C temperature. The temperature (in K) at which the rms speed of a H₂ molecule would be equal to the rms speed of a nitrogen molecule, is ______. (Molar mass of N₂ gas 28 g)

Asked in JEE Main 5th Sept 2nd Shift 2020 · Speed with temperature and molar mass

Answer: 41

Step-by-step solution

Equal rms speeds require equal T/M.

Nitrogen: T=300+273=573 K with M=28 g/mol.

Hydrogen has M=2 g/mol, so T_H₂=573×2/(28).

=40.9≈41 K.

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