Regarding the following reaction at 298.15 K: 4 HCI (g) + O2(g) → 2Cl2 (g) + 2H₂O (1) The following table lists the stand enthalpy of formation, the standard entropy and the standard formation Gibbs energies

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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### Question 2

**Regarding the following reaction at 298.15 K:**

\[ 4 \text{HCl (g)} + \text{O}_2 \text{(g)} \rightarrow 2 \text{Cl}_2 \text{(g)} + 2 \text{H}_2\text{O (l)} \]

The following table lists the standard enthalpy of formation, the standard entropy, and the standard formation Gibbs energies:

|                | HCl (g)  | O<sub>2</sub> (g) | Cl<sub>2</sub> (g) | H<sub>2</sub>O (l) |
|----------------|----------|------------------|-------------------|-------------------|
| ΔH<sub>f</sub>° (kJ/mol) | -92.31   | 0                | 0                 | -285.83          |
| S° (J/K·mol)   | 186.91   | 205.14           | 223.07            | 69.91             |
| ΔG<sub>f</sub>° (kJ/mol) | -95.3    | 0                | 0                 | ?                |

Please calculate the standard reaction entropy Δ<sub>r</sub>S° (J·K<sup>-1</sup>·mol<sup>-1</sup>), the standard reaction enthalpy Δ<sub>r</sub>H° (kJ·mol<sup>-1</sup>), the standard reaction Gibbs energy Δ<sub>r</sub>G° (kJ·mol<sup>-1</sup>), and the maximum nonexpansion work that can be gained from the oxidation of HCl (g) at 298.15 K.

**Instruction:** Please enter all answers with **two decimal places**, for example: -344.101 is written as -344.10. Pay attention to the units, particularly Δ<sub>r</sub>S° in J/(K·mol) while others are in kJ/mol.

1. Δ<sub>r</sub>S° (J·K<sup>-1</sup>·mol<sup>-1</sup>) = [_______]

2. Δ<sub>r</sub>H° (kJ·mol<sup>-
Transcribed Image Text:### Question 2 **Regarding the following reaction at 298.15 K:** \[ 4 \text{HCl (g)} + \text{O}_2 \text{(g)} \rightarrow 2 \text{Cl}_2 \text{(g)} + 2 \text{H}_2\text{O (l)} \] The following table lists the standard enthalpy of formation, the standard entropy, and the standard formation Gibbs energies: | | HCl (g) | O<sub>2</sub> (g) | Cl<sub>2</sub> (g) | H<sub>2</sub>O (l) | |----------------|----------|------------------|-------------------|-------------------| | ΔH<sub>f</sub>° (kJ/mol) | -92.31 | 0 | 0 | -285.83 | | S° (J/K·mol) | 186.91 | 205.14 | 223.07 | 69.91 | | ΔG<sub>f</sub>° (kJ/mol) | -95.3 | 0 | 0 | ? | Please calculate the standard reaction entropy Δ<sub>r</sub>S° (J·K<sup>-1</sup>·mol<sup>-1</sup>), the standard reaction enthalpy Δ<sub>r</sub>H° (kJ·mol<sup>-1</sup>), the standard reaction Gibbs energy Δ<sub>r</sub>G° (kJ·mol<sup>-1</sup>), and the maximum nonexpansion work that can be gained from the oxidation of HCl (g) at 298.15 K. **Instruction:** Please enter all answers with **two decimal places**, for example: -344.101 is written as -344.10. Pay attention to the units, particularly Δ<sub>r</sub>S° in J/(K·mol) while others are in kJ/mol. 1. Δ<sub>r</sub>S° (J·K<sup>-1</sup>·mol<sup>-1</sup>) = [_______] 2. Δ<sub>r</sub>H° (kJ·mol<sup>-
### Thermodynamics Exercise

1. **Change in Standard Entropy**  
   \(\Delta_rS^\circ (\text{JK}^{-1}\text{mol}^{-1}) = \) 

2. **Change in Standard Enthalpy**  
   \(\Delta_rH^\circ (\text{kJmol}^{-1}) = \) 

3. **Calculate the Standard Reaction Gibbs Energy**  
   Please use your results from (1) and (2) to calculate the standard reaction Gibbs energy:  
   \(\Delta_rG^\circ (\text{kJmol}^{-1}) = \) 

4. **Gibbs Energy of Formation for H\(_2\)O (l)**  
   Use the result from (3) and the data below to calculate the standard formation Gibbs energy of H\(_2\)O (l):  
   \(\Delta_fG^\circ (\text{kJmol}^{-1}) = \) 

5. **Maximum Work from Oxidation of HCl (g)**  
   \( w^{\text{max}} (\text{kJg}^{-1}) \) that can be gained from the oxidation of HCl (g) on a per gram basis = \(\_\_\_\_\_\)  
   *Note: The reaction equation contains 4 moles of HCl*

### Instructions
- Fill in the blanks with appropriate calculations.
- Use thermodynamic equations as needed to compute values.
- Ensure consistency in units across all calculations.
Transcribed Image Text:### Thermodynamics Exercise 1. **Change in Standard Entropy** \(\Delta_rS^\circ (\text{JK}^{-1}\text{mol}^{-1}) = \) 2. **Change in Standard Enthalpy** \(\Delta_rH^\circ (\text{kJmol}^{-1}) = \) 3. **Calculate the Standard Reaction Gibbs Energy** Please use your results from (1) and (2) to calculate the standard reaction Gibbs energy: \(\Delta_rG^\circ (\text{kJmol}^{-1}) = \) 4. **Gibbs Energy of Formation for H\(_2\)O (l)** Use the result from (3) and the data below to calculate the standard formation Gibbs energy of H\(_2\)O (l): \(\Delta_fG^\circ (\text{kJmol}^{-1}) = \) 5. **Maximum Work from Oxidation of HCl (g)** \( w^{\text{max}} (\text{kJg}^{-1}) \) that can be gained from the oxidation of HCl (g) on a per gram basis = \(\_\_\_\_\_\) *Note: The reaction equation contains 4 moles of HCl* ### Instructions - Fill in the blanks with appropriate calculations. - Use thermodynamic equations as needed to compute values. - Ensure consistency in units across all calculations.
Expert Solution
The standard molar property change for a chemical reaction

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