Interpretation:
The gas discharge temperature and the work output of the turbine per mole of the gas under the given conditions need to be calculated
Concept Introduction:
- For an ideal gas under isentropic adiabatic conditions, the temperature and pressure are related as:
- The isentropic efficiency of a turbine is given as:
The gas discharge temperature =
Work output of turbine = -8.78 kJ/mol
Given Information:
Inlet pressure, P1 = 10 bar
Inlet Temperature, T1=
Outlet pressure, P2 = 1.5 bar
Heat capacity, Cp = 32 J.mol-1.K-1
Turbine efficiency, ? = 77% = 0.77
Explanation:
In this case, the combustion products have been assumed to behave as an ideal gas. The discharge temperature can be deduced from equation (1) and the work output can be deduced from equation (4).
The heat capacity ratio for gas turbine, i.e. ? = 1.33
Calculation:
Step 1:
Calculate the discharge/final temperature, T2
Based on equation (1) we have:
Step 2:
Calculate the actual enthalpy change
The adiabatic enthalpy change is related to the change in temperature through the specific heat capacity, Cp
Based on equation (5) the actual enthalpy change is:-
Step 3:
Calculate the work output of the turbine
Based on equation (4)
Thus, the gas discharge temperature =
Work output of turbine = -8.78 kJ/mol
Trending nowThis is a popular solution!
Chapter 7 Solutions
Introduction to Chemical Engineering Thermodynamics
- Introduction to Chemical Engineering Thermodynami...Chemical EngineeringISBN:9781259696527Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark SwihartPublisher:McGraw-Hill EducationElementary Principles of Chemical Processes, Bind...Chemical EngineeringISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEYElements of Chemical Reaction Engineering (5th Ed...Chemical EngineeringISBN:9780133887518Author:H. Scott FoglerPublisher:Prentice Hall
- Industrial Plastics: Theory and ApplicationsChemical EngineeringISBN:9781285061238Author:Lokensgard, ErikPublisher:Delmar Cengage LearningUnit Operations of Chemical EngineeringChemical EngineeringISBN:9780072848236Author:Warren McCabe, Julian C. Smith, Peter HarriottPublisher:McGraw-Hill Companies, The