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During an adiabatic process, the pressure of an ideal gas is found to be proportional to the cube of its absolute temperature. The ratio C p C v for the gas is

Options

  1. A3 2
  2. B4 3
  3. C2
  4. D5 3

Correct answer

A. 3 2

Step-by-step solution

Given P ∝ T 3 . But for adiabatic process P ∝ T γ / γ - 1 . So, γ γ - 1 = 3 ⇒ γ = 3 2 ⇒ C p C v = 3 2

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