E2.7 Adiabatic Process

Example 2.7: A gas is compressed adiabatically from 1 atm and 70 °F to 5 atm. Given the following information, find point and path functions.

k = 1.6, C_P = 4.9675 Btu/(lbmol·°R), C_V = 2.98 Btu/(lbmol·°R),

R = 0.73 (atm·ft³)/(lbmol·°R) = 1.987 Btu/(lbmol·°R)

Solution:

Final temperature, T₂ (Equation 2.26):

Internal energy change, ΔU (Equation 2.22):

Adiabatic process, Q_rev = 0

Work, W_rev (Equation 2.21):

Enthalpy change, ΔH (Equation 2.24)

Initial volume, V₁ (Equation 2.1):

Final volume, V₂ (Equation 2.27)

ΔS_rev= 0