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JEE Main202429 Jan 2024Evening ShiftPhysicsKinetic Theory of GasesActual

N moles of a polyatomic gas ( f = 6 ) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of N is:

Options

  1. A6
  2. B3
  3. C4
  4. D2

Correct answer

C. 4

Step-by-step solution

The equivalent degree of freedom f e q of the mixture is f e q = n 1 f 1 + n 2 f 2 n 1 + n 2 For diatomic gas f eq = 5 . ⇒ 5 = ( n ) ( 6 ) + ( 2 ) ( 3 ) n + 2 ⇒ 5 n + 10 = 6 n + 6 ⇒ n = 4

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