Q12 / 46 · NTA Abhyas (NEET) 2020 · Physics · Kinetic Theory of Gases

The root mean square speed of oxygen molecules at a certain absolute temperature is v. If the temperature is doubled and the oxygen gas dissociates into atomic oxygen, the root mean square speed would be -

  • A
    v
  • B
    2v
  • Correct answer
    C
    2v
  • D
    22v

Solution

RMS speed is given by

vrms=v=3RTM

New temperature T′=2T

New molar mass M′= M2 

∴ vrmsnew =3R (2T)M2

vrmsnew =2v

Hence, the correct answer is option: 'C'.

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