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Highly selective Backlog Qs for JEE MainPhysicsKinetic Theory of Gases

A gas has molar heat capacity C = 37 . 55   J   mol - 1   K - 1 , in this process p T = constant. The number of degree of freedom of the molecule of gas is

Options

  1. A2
  2. B3
  3. C5
  4. D7

Correct answer

C. 5

Step-by-step solution

Given, C = 37 . 55   J   mol - 1   K - 1 Also, P T = constant K According to ideal gas equation, P V = R T ⇒       p = R T V             . . . . . i Putting the value of p in Eq. (i), we get R T V × T = K       ⇒       V = R T 2 K           . . . . . ii On differentiating above equation both sides, we get d V d T = 2 R T K . . . . iii But T K = 1 p           fr

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