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The rms speed of N 2 molecules in a gas is u . If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes

Options

  1. A2 u
  2. B4 u
  3. C14 u
  4. D2 u

Correct answer

A. 2 u

Step-by-step solution

u 1 u 2 = n 1 T 1 n 2 T 2 = n × T 2 n × 2 T = 1 4 = 1 2 ∴ u 2 = 2 u 1 Therefore, If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes double.

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