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For gaseous state, if most probable speed is denoted by C * , average speed by C ̄ and root mean square speed by C, then for a large number of molecules the ratios of these speeds are

Options

  1. AC * : C ̄ : C = 1 : 1.225 : 1.128
  2. BC * : C ̄ : C = 1.128 : 1.225 : 1
  3. CC * : C ̄ : C = 1 : 1.128 : 1.225
  4. DC * : C ̄ : C = 1.225 : 1.128 : 1

Correct answer

C. C * : C ̄ : C = 1 : 1.128 : 1.225

Step-by-step solution

C * = most probable speed = 2 R T M C ̄ = average speed = 8 R T π M C = Root mean square speed or rms = 3 R T M C * < C ̄ < C C * : C ̄ : C = 1 : 4 π : 3 2 = 1 : 1.128 : 1.225

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