Answer to Question #308453 in Mechanical Engineering for Engineering

Question

If a gas of volume 0.06 m3

and at pressure 100kPa is compressed quasistatically according to

pV2 =C until the volume become 0.02m3

, determine the final pressure and the work transfer.

Answer 1

pVⁿ = C

n = 2

(V₂/V₁)ⁿ = p₁/p₂

(0.02 m³/0.06 m³)² = 100 kPa /p₂

p₂ = 900 kPa

W = p₁V₁ln(p₁/p₂) = 100 × 10³ Pa × 0.06 m³ × ln(100/900) = 13 183 J = 13.183 kJ