King Saud University CHE304 College of Engineering Time 2.0 Hr Chemical Eng. Dept. Final Exam Date 25/1/1429 H Chemical Engineering Thermodynamics for Petroleum Engineering Instruction : Answer All Questions Question One Define The Following: 1- The Statement of The First Law of Thermodynamics 2- The Mathematical Statement of The First Law of Thermodynamics 3- State Function 4- Equilibrium 5- The Phase Rule 6- The reversible Process 7- Enthalpy 8- Heat Capacity 9- Open System 10- PV diagram for a pure substance 11- The Ideal Gas 12- Adiabatic Process 13- Sensible Heat 14- Latent Heat 15- The Statements of The Second Law of Thermodynamics 16- The Mathematical Statement of The Second Law of Thermodynamics 17- Thermal Efficiency 18- Entropy 19- Heat of Formation 20- Heat of Reaction Question Two Calculate the theoretical (maximum) flame temperature when methane (CH4) at 25 ºC is burned with the theoretical amount of oxygen at 25 ºC. Question Three Calculate the standard heat of the methanol-synthesis reaction at 25 ºC. Question Four An ideal gas undergoes the following sequence of mechanically reversible process in a closed system: a) From an initial state of 70 ºC and 1 bar, it is compressed adiabatically to 150 ºC. b) It is then cooled from 150 to 70 ºC at constant pressure. c) Finally, it is expanded isothermally to its original state. - Calculate W, Q, ΔU, ΔH for each of the three processes and for the entire cycle. - Sketch the PV diagram for the cycle. Take Cv =12 J/mol K, Cp = 20 J/mol K. Additional Data The methanol-synthesis reaction : CO(g) + 2H2(g) - CH3OH(g) R= 8.314 J/mol K = 83.14 cm3 bar mol-1K-1 1 J = 10 cm3 bar Heat Capacities of Gases ( Cp/R = A + B T) where T in K Chemical Species A 103 B CH4 1.70 9.08 CO2 5.46 1.05 H2O 3.47 1.45 CO 3.38 0.56 H2 3.25 0.422 CH3OH 2.20 12.20 O2 3.64 0.51 Standard Enthalpies of Formation at 298.15 K (J/mol of the substance formed) Chemical Species ΔHf298 CH4 (g) -74520 CO2 (g) -393509 H2O (g) -241818 CO (g) -110525 CH3OH (g) -200600