Question

Oxygen gas in a piston cylinder at 300 K, 100 kPa with volume 0.1 m³ is compressed in a reversible adiabatic process to a final temperature of 700 K. Find the final pressure and volume using constant heat capacity

Answer 1

C.V. Air. Assume a reversible, adiabatic process.

Energy Eq   u₂ - u₁ = 0 − ₁w₂ ;

Entropy Eq s₂ - s₁ = ∫ dq/T + ₁s_{2 gen} = 0/ 

Process: Adiabatic ₁q₂ = 0

Reversible ₁s₂ gen = 0

With these two terms zero we have a zero for the entropy change. So this is a constant s (isentropic) expansion process.