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JEE Main202430 Jan 2024Evening ShiftPhysicsKinetic Theory of GasesActual

If three moles of monoatomic gas γ = 5 3 is mixed with two moles of a diatomic gas γ = 7 5 , the value of adiabatic exponent γ for the mixture is:

Options

  1. A1 . 75
  2. B1 . 40
  3. C1 . 52
  4. D1 . 35

Correct answer

C. 1 . 52

Step-by-step solution

Given: f 1 = 3 , f 2 = 5 n 1 = 3 , n 2 = 2 Now, for mixture f mixture = n 1 f 1 + n 2 f 2 n 1 + n 2 = 9 + 10 5 = 19 5 Therefore, γ mixture = 1 + 2 f mixture = 1 + 2 × 5 19 = 29 19 = 1 . 52

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