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

Question

In an adiabatic expansion, the volume of air is increased by 5 % , then the approximate percentage decrease in its pressure will be (A) 5 % (B) 6 % (C) 7 % (D) 8 %

Tardigrade Admin · Accepted Answer

(Δ P/Δ V)=-&gamma; (P/V) arrow Air arrow diatomic (&gamma; = 1.4) ∴ (Δ P/P)× 100=-&gamma; (Δ V/V)× 100 =-1.4× 5=7 %

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

$5%$

$6%$

$7%$

$8%$

$\frac{Δ P}{Δ V} = - γ \frac{P}{V} \to$ Air $\to$ diatomic $(γ = 1.4)$
$∴ \frac{Δ P}{P} \times 100 = - γ \frac{Δ V}{V} \times 100$
$= - 1.4 \times 5 = 7%$

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

5%

6%

7%

8%