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The root mean square rms speed of oxygen molecules (O 2 ) at a certain temperature T (on kelvin scale) is V . If the temperature is doubled and oxygen gas dissociates into atomic oxygen, the rms speed becomes

Options

  1. Atwo times
  2. Bthree times
  3. Cfour times
  4. Dunchanged

Correct answer

A. two times

Step-by-step solution

V rms = 3RT M V rms ∝ T M ...(i) When oxygen gas dissociates into atomic oxygen, its atomic mass M will become half. Temperature is doubled. So, from Eq. (i) V rms will become two times. V rms ' V rms = 2T M 2 T M = 4 = 2 ⇒ V rms ' = 2 V rms

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