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Module 2: Characteristics of Gases - Heat Capacity and Enthalpy - Practice Problems

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Instructions:
Work these problems on a sheet of paper and check your answers against those provided below.

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Q icon #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?

A icon
Answer: 12,974 Btu/min

Solution:

practice equation 1

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Q icon #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.

A icon
Answer: 22.5 Btu

Solution:
  1. In Appendix A, find the enthalpy of oxygen at 200°F and 300°F.

    practice equation 2(1)

  2. Calculate the amount of heat (enthalpy) required to heat 1.0 lbm of oxygen from 200°F to 300°F.

    practice equation 2(2)

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Q icon #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.

A icon
Answer: 102,913 Btu/min

Solution:
  1. Calculate the mass flow rate of air, in lbm/min.

    practice equation 3(1)

  2. 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).

    practice equation 3(2)

  3. Calculate the enthalpy change for air from 200°F to 1,400°F. For enthalpy data, see Appendix A.

    practice equation 3(3)

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Q icon #4
How much heat is required to heat 10,000 SCFM of nitrogen from 400°F to 2,000°F?

A icon
Answer: 318,280 Btu/min

Solution:
Solve this problem using the following equation:

practice equation 4
  1. Use Appendix A to find the enthalpies of nitrogen at 400°F and 2,000°F.

    practice equation 4(1)

  2. Convert the gas flow rate to mass flow rate for nitrogen.

    practice equation 4(2)

  3. Calculate the total change in enthalpy during heating.

    practice equation 4(3)

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