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The average rms speed of molecules in a sample of oxygen gas at 300 K is 484 m s - 1 , respectively. The corresponding value at 600 K is nearly (assuming ideal gas behaviour)

Options

  1. A968   m   s - 1
  2. B986   m   s - 1
  3. C648   m   s - 1
  4. D684   m   s - 1

Correct answer

D. 684   m   s - 1

Step-by-step solution

The formula for rms velocity is C rms = 3 KT m ∴     C rms 6 0 0 K C rms 3 0 0 K = 6 0 0 3 0 0 ⇒    C rms 6 0 0 K = 2 × 4 8 4 = 6 8 4   m   s - 1

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