1. Tardigrade
  2. Question
  3. Physics
  4. The temperature at which root mean square velocity of molecules of helium is equal to root mean square velocity of hydrogen at NTP is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The temperature at which root mean square velocity of molecules of helium is equal to root mean square velocity of hydrogen at NTP is

MGIMS WardhaMGIMS Wardha 2011

Solution:

$ {{v}_{rms}}=\sqrt{\frac{3RT}{M}} $ rms velocity of He and $ {{H}_{2}} $ is same. i.e., $ \frac{{{T}_{{{H}_{2}}}}}{{{M}_{{{H}_{2}}}}}=\frac{{{T}_{He}}}{{{M}_{He}}} $ or $ \frac{273}{2}=\frac{{{T}_{He}}}{4} $ or $ \frac{273}{2}=\frac{{{T}_{He}}}{4} $ $ =546-273 $ $ =273{}^\circ C $