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An ideal gas undergoing adiabatic change has the following pressure-temperature relationship

  1. P¹⁻ᵞ = constant
  2. Pᵀᵞ⁻¹ = constant
  3. Pᵀ¹⁻ᵞ = constant
  4. Pᵀᵞ = constant

Correct answer: Pᵀᵞ⁻¹ = constant

Solution

For an adiabatic process, the relationship between pressure and temperature is derived using the adiabatic condition PV^γ = constant and the ideal gas law. This leads to P*T^(γ-1) = constant.

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