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The rms speed of oxygen molecule at a certain temperature is 600 ~ms ⁻¹ . If the temperature is doubled and oxygen molecule dissociates into atomic oxygen atoms, the new rms speed is

Options

  1. A120 ~ms ⁻¹
  2. B150 ~ms ⁻¹
  3. C1200 ~ms ⁻¹
  4. D600 ~ms ⁻¹

Correct answer

C. 1200 ~ms ⁻¹

Step-by-step solution

v_ rms = 3 R T M Given, at temperature T₁ , At temperature, T₂=2 T₁ , due to dissociation Dividing Eq. (i) by Eq. (ii), we get v 600 =2 v=1200 ~ms ⁻¹

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