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MHT CET2019Morning ShiftPhysicsKinetic Theory of GasesActual

The speed of oxygen molecule in a gas is u,If the temperature is doubled and the molecule dissociates into two atoms, the speed will be

Options

  1. A4u
  2. Bu
  3. C2u
  4. Du 2

Correct answer

C. 2u

Step-by-step solution

rms speed of O 2 molecule = u i.e., u = 3 R T M where, T = temperature and M = molecular mass. When temperature is doubled, then O 2 dissociates into two atoms. Hence, the atomic mass of oxygen atom, M ' = M 2 ∴ rms velocity of oxygen atom u ' = 3 R T ' M ' = 3 R . 2 T M 2 T ' = 2 T M ' = M 2 = 2 3 R T M = 2 u [from Eq. (i)]

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