One kilogram on a diatomic ideal gas undergoes the following four step process starting at Point A (100 kPa, 300K, 4 m³) A => B • B=> C ● C => D Isothermal compression that quarters the volume (to 1 m³) Isobaric expansion that triples the temperature (to 900K) Adiabatic expansion to the original volume (to 4 m³). Isochoric process to the original pressure (to 100 kPa). • D=> A (a) Determine P, V, and T, for all points. (b) What is AU, Q, W, AH & AS for each leg of the cycle? (c) What is the efficiency of this cycle? (

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:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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**Problem 1**

One kilogram of a **diatomic** ideal gas undergoes the following four-step process starting at Point A (100 kPa, 300K, 4 m³):

- **A => B**: Isothermal compression that quarters the volume (to 1 m³)
- **B => C**: Isobaric expansion that triples the temperature (to 900K)
- **C => D**: Adiabatic expansion to the original volume (to 4 m³).
- **D => A**: Isochoric process to the original pressure (to 100 kPa).

(a) Determine P, V, and T for all points.

(b) What is ΔU, Q, W, ΔH & ΔS for each leg of the cycle?

(c) What is the efficiency of this cycle?

(d) Sketch a P-V diagram and T-S diagram, indicating P, V, T, for all points & ΔU, Q, W, ΔH & ΔS for each leg.

**Problem 2**

Repeat problem one for a **monoatomic** ideal gas. Compare the Thermal Efficiency of a monoatomic ideal gas to the Thermal Efficiency of a diatomic ideal gas for this same cycle.
Transcribed Image Text:**Problem 1** One kilogram of a **diatomic** ideal gas undergoes the following four-step process starting at Point A (100 kPa, 300K, 4 m³): - **A => B**: Isothermal compression that quarters the volume (to 1 m³) - **B => C**: Isobaric expansion that triples the temperature (to 900K) - **C => D**: Adiabatic expansion to the original volume (to 4 m³). - **D => A**: Isochoric process to the original pressure (to 100 kPa). (a) Determine P, V, and T for all points. (b) What is ΔU, Q, W, ΔH & ΔS for each leg of the cycle? (c) What is the efficiency of this cycle? (d) Sketch a P-V diagram and T-S diagram, indicating P, V, T, for all points & ΔU, Q, W, ΔH & ΔS for each leg. **Problem 2** Repeat problem one for a **monoatomic** ideal gas. Compare the Thermal Efficiency of a monoatomic ideal gas to the Thermal Efficiency of a diatomic ideal gas for this same cycle.
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