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At what temperature is the R.M.S. velocity of Hydrogen molecule equal to that of an oxygen molecule at 47^ C ? (Molecular weight of hydrogen =2 , Molecular weight of oxygen =32 )

Options

  1. A80 ~K
  2. B20 ~K
  3. C40 ~K
  4. D60 ~K

Correct answer

B. 20 ~K

Step-by-step solution

The r.m.s. velocity of a molecule is given by aligned C &= 3 RT M C _ H C _ o &= T _ H T _ o M _ o M _ H C _ H &= C _ o T _ H T _ o & M ₀ M _ H =1, ~T _ H =47+273=320 T _ H &= M _ H M _ o T _ o = 2 32 320=20 ~K aligned

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