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The temperature of an ideal gas is increased from 100 K to 400 K . If the r m s speed of the gas molecule is V at 100 K , then at 400 K it becomes

Options

  1. A2 V
  2. B4 V
  3. C0.5 V
  4. DV

Correct answer

A. 2 V

Step-by-step solution

∵ r m s speed of molecule V r m s ∝ T for T = 100 K V r m s 1 ∝ 100 For T = 400 K V r m s 2 ∝ 400 therefore, V r m s 1 V r m s 2 = 100 400 or V V r m s 2 = 1 2 or V r m s 2 = 2 V

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