Oxygen gas in a piston cylinder at 300 K, 100 kPa with volume 0.1m^3 is compressed in a reversible adiabatic process to a final temperature of 700 K. Find the final pressure and volume.
Answer: A
Process: Adiabatic 1q2 = 0, Reversible 1s2 gen = 0
Entropy Eq.: s2 – s1 = ∫ dq/T + 1s2 gen = 0
∴s2 = s1 (isentropic compression process)
P2 = P1( T2 / T1)^(k/k-1) = 2015 kPa
V2 = V1( T2 / T1)^(1/1-k) = 0.1 × (700/300)^(1/1−1.393)
= 0.0116 m^3.