Module 2: Characteristics of Gases - Heat Capacity and Enthalpy - Practice Problems
-
Instructions:
- Work these problems on a sheet of paper and check your answers against those provided below.
-
#1
- A gas mixture has a heat capacity of 10 Btu/(lb mole °F). How much heat is needed to increase the temperature of a 1,000 SCFM gas stream of this mixture by 500°F?

-
Answer: 12,974 Btu/min
- Solution:
- Solution:
-
#2
- How much heat is needed to increase the temperature of 1.0 lbm of oxygen from 200°F to 300°F? For enthalpy data, see Appendix A.
-
Answer: 22.5 Btu
- Solution:
-
In Appendix A, find the enthalpy of oxygen at 200°F and 300°F.
-
Calculate the amount of heat (enthalpy) required to heat 1.0 lbm of oxygen from 200°F to 300°F.
-
#3
- A VOC-laden air stream of 4,425 SCFM entering a thermal incinerator is at a temperature of 200°F. How much heat is needed to preheat the gas stream to 1,400°F to ensure oxidation of the VOC material? In solving the problem, use the enthalpy data for air and ignore the organic compounds present at levels less than 1,000 ppm (<0.1% volume). Use an average molecular weight of 29 lbm/lb mole for the air stream. For enthalpy data, see Appendix A.
-
Answer: 102,913 Btu/min
- Solution:
-
Calculate the mass flow rate of air, in lbm/min.
-
Calculate the enthalpy of the air at 1,400°F (interpolate value from Appendix A using the data provided for 1,000°F and 1,500°F).
-
Calculate the enthalpy change for air from 200°F to 1,400°F. For enthalpy data, see Appendix A.
-
Answer: 318,280 Btu/min
- Solution:
- Solve this problem using the following equation:
- Solution:
-
Use Appendix A to find the enthalpies of nitrogen at 400°F and 2,000°F.
-
Convert the gas flow rate to mass flow rate for nitrogen.
-
Calculate the total change in enthalpy during heating.
![[logo] US EPA](http://www.epa.gov/epafiles/images/logo_epaseal.gif)