Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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**Problem 7: Thermodynamic Process Analysis**

Air, which obeys the ideal gas law, undergoes a change of state from the initial pressure \( P_1 = 1.0135 \times 10^5 \, \text{N/m}^2 \) to the final pressure \( P_2 = 10.135 \times 10^5 \, \text{N/m}^2 \). The initial volume is \( V_1 = 10.16 \, \text{m}^3 \) and the final volume is \( V_2 = 1.0165 \, \text{m}^3 \). The process follows these reversible paths:

i. **Compression at Constant Temperature:**
   - The gas is compressed while maintaining the same temperature throughout the process.

ii. **Adiabatic Compression Followed by Isobaric Cooling:**
   - The gas is compressed without any heat exchange with the surroundings (adiabatic process) and then cooled at constant pressure.

iii. **Isochoric Heating Followed by Isobaric Cooling:**
   - The gas is heated at a constant volume initially and then cooled at constant pressure.

**Tasks:**

Calculate the following thermodynamic quantities for each process:
- \( \Delta U \) (Change in Internal Energy)
- \( W \) (Work Done)
- \( Q \) (Heat Transfer)
- \( \Delta H \) (Change in Enthalpy)

**Note:** There is no graphical or diagrammatic content in the text to describe.
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Transcribed Image Text:**Problem 7: Thermodynamic Process Analysis** Air, which obeys the ideal gas law, undergoes a change of state from the initial pressure \( P_1 = 1.0135 \times 10^5 \, \text{N/m}^2 \) to the final pressure \( P_2 = 10.135 \times 10^5 \, \text{N/m}^2 \). The initial volume is \( V_1 = 10.16 \, \text{m}^3 \) and the final volume is \( V_2 = 1.0165 \, \text{m}^3 \). The process follows these reversible paths: i. **Compression at Constant Temperature:** - The gas is compressed while maintaining the same temperature throughout the process. ii. **Adiabatic Compression Followed by Isobaric Cooling:** - The gas is compressed without any heat exchange with the surroundings (adiabatic process) and then cooled at constant pressure. iii. **Isochoric Heating Followed by Isobaric Cooling:** - The gas is heated at a constant volume initially and then cooled at constant pressure. **Tasks:** Calculate the following thermodynamic quantities for each process: - \( \Delta U \) (Change in Internal Energy) - \( W \) (Work Done) - \( Q \) (Heat Transfer) - \( \Delta H \) (Change in Enthalpy) **Note:** There is no graphical or diagrammatic content in the text to describe.
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