In an adiabatic expansion of air, the volume increases by 5 % . What is the percentage change in pressure? 1.05 7 5 = 1.07

Question

In an adiabatic expansion of air, the volume increases by 5 % . What is the percentage change in pressure? 1.05 7 5 = 1.07, 7 %, 5%, 4 %, 3 %

MARKS App · Accepted Answer

P 1 V 1 γ = P 2 V 2 γ γ = 7 5 , V 2 = 1.05 V 1 P 1 V 1 γ = P 2 ( 1.05 V ⁡ ) γ P 2 = P 1 ( 1.05 ) γ s o % c h a n g e P 2 - P 1 P 1 × 100 = P 1 ( 1.05 ) γ - P 1 P 1 × 100 = 1 - ( 1.05 ) γ ( 1.05 ) γ × 100 = 7 %

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