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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 many molecules, what is the ratios of these speeds?

Options

  1. AC *   : C -   : C =   1   : 1 .128   : 1 .225
  2. BC *   : C -   : C =   1   : 1 .225   : 1 .128
  3. CC *   : C -   : C =   1 .225   : 1 .128   : 1
  4. DC *   : C -   : C =   1 .128   : 1 .225   : 1

Correct answer

A. C *   : C -   : C =   1   : 1 .128   : 1 .225

Step-by-step solution

C * = 2 RT M         1 . 414 : 1 . 595 : 1 . 732 C - = 8 π RT M C = 3 RT M 2       :   8 3.14       :   3 1       :   1.128       :   1.225 C * :   C ¯ : C = 1   :  1 . 128   :  1 . 225

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