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At what temperature (in kelvin) is the rms speed of hydrogen molecules the same as oxygen molecules at 1327 ℃ ?

Options

  1. A100
  2. B110
  3. C120
  4. D130

Correct answer

A. 100

Step-by-step solution

v H 2 = v O 2 3 R T H 2 M H 2 = 3 R T O 2 M O 2 So, M O 2 T H 2 = M H 2 T O 2 32 × T H 2 = 2 × 1600 T H 2 = 2 × 1600 32 = 100

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