A Stirling cycle is a thermodynamic cycle similar to the Carnot cycle and is defined by the following processes. -> 2: Isothermal expansion -> 3: isochoric cooling -> 4: isothermal heating -> 1: isochoric heating Solve the graph for  a Stirling cycle with the given information in which 50g of Ar (treated as an ideal gas) is isothermally expanded from 4L to 16L at a temperature of 700K. The sample is then undergoes isochoric cooling to 298K.  The sample is then isothermally compressed to 3L and finally undergoes isochoric heating back to 700K.

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
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A Stirling cycle is a thermodynamic cycle similar to the Carnot cycle and is defined by the following processes.

    • -> 2: Isothermal expansion
    • -> 3: isochoric cooling
    • -> 4: isothermal heating
    • -> 1: isochoric heating


    • Solve the graph for  a Stirling cycle with the given information in which 50g of Ar (treated as an ideal gas) is isothermally expanded from 4L to 16L at a temperature of 700K. The sample is then undergoes isochoric cooling to 298K.  The sample is then isothermally compressed to 3L and finally undergoes isochoric heating back to 700K. 
Below is a table that needs to be completed, commonly featuring in thermodynamic studies. The table is labeled to show changes in different thermodynamic quantities across various processes. It is structured as follows:

**Table Columns:**
1. **Process**: Displays the initial and final states involved in the thermodynamic process.
2. **ΔA (kJ)**: Change in Helmholtz free energy, expressed in kilojoules.
3. **ΔG (kJ)**: Change in Gibbs free energy, expressed in kilojoules.
4. **ΔU (kJ)**: Change in internal energy, expressed in kilojoules.
5. **ΔH (kJ)**: Change in enthalpy, expressed in kilojoules.
6. **ΔS (J/K)**: Change in entropy, expressed in joules per Kelvin.

**Table Rows:**
- **1 ➞ 2**: Represents the transition from state 1 to state 2.
- **2 ➞ 3**: Represents the transition from state 2 to state 3.
- **3 ➞ 4**: Represents the transition from state 3 to state 4.
- **4 ➞ 1**: Represents the transition from state 4 back to state 1.

This table is to be filled out by calculating the changes in the thermodynamic properties for each respective process.
Transcribed Image Text:Below is a table that needs to be completed, commonly featuring in thermodynamic studies. The table is labeled to show changes in different thermodynamic quantities across various processes. It is structured as follows: **Table Columns:** 1. **Process**: Displays the initial and final states involved in the thermodynamic process. 2. **ΔA (kJ)**: Change in Helmholtz free energy, expressed in kilojoules. 3. **ΔG (kJ)**: Change in Gibbs free energy, expressed in kilojoules. 4. **ΔU (kJ)**: Change in internal energy, expressed in kilojoules. 5. **ΔH (kJ)**: Change in enthalpy, expressed in kilojoules. 6. **ΔS (J/K)**: Change in entropy, expressed in joules per Kelvin. **Table Rows:** - **1 ➞ 2**: Represents the transition from state 1 to state 2. - **2 ➞ 3**: Represents the transition from state 2 to state 3. - **3 ➞ 4**: Represents the transition from state 3 to state 4. - **4 ➞ 1**: Represents the transition from state 4 back to state 1. This table is to be filled out by calculating the changes in the thermodynamic properties for each respective process.
The table below presents the states of a gas under different conditions of pressure, volume, and temperature. The values are given in standard units: pressure in atmospheres (atm), volume in liters (L), and temperature in Kelvin (K).

| **State** | **P (atm)** | **V (L)** | **T (K)** |
|-----------|-------------|-----------|-----------|
| 1         | 17.93       | 4         | 700       |
| 2         | 4.48        | 16        | 700       |
| 3         | 1.90        | 16        | 298       |
| 4         | 10.18       | 3         | 298       |

This data can be used to study the relationships described by the ideal gas law, which relates pressure, volume, and temperature of a gas.
Transcribed Image Text:The table below presents the states of a gas under different conditions of pressure, volume, and temperature. The values are given in standard units: pressure in atmospheres (atm), volume in liters (L), and temperature in Kelvin (K). | **State** | **P (atm)** | **V (L)** | **T (K)** | |-----------|-------------|-----------|-----------| | 1 | 17.93 | 4 | 700 | | 2 | 4.48 | 16 | 700 | | 3 | 1.90 | 16 | 298 | | 4 | 10.18 | 3 | 298 | This data can be used to study the relationships described by the ideal gas law, which relates pressure, volume, and temperature of a gas.
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