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In an adiabatic expansion, the volume of air is increased by 5 % , then the approximate percentage decrease in its pressure will be

Options

  1. A5 %
  2. B6 %
  3. C7 %
  4. D8 %

Correct answer

C. 7 %

Step-by-step solution

Δ P Δ V = - γ P V → A i r → d i a t o m i c γ = 1.4 ∴ Δ P P = - γ Δ V V = - 1.4 × 5 = 7 %

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