Help with the following question. At low to moderate pressures, the equilibrium state of the water-gas shift reaction:\[ \text{CO} + \text{H}_2\text{O} \rightleftarrows \text{CO}_2 + \text{H}_2} \]is approximately described by the relation:\[\frac{y_{\text{CO}_2} \cdot y_{\text{H}_2}}{y_{\text{CO}} \cdot y_{\text{H}_2\text{O}}} = K_{\text{eq}}(T) = 0.0247 \exp\left[\frac{4020}{T (\text{K})}\right]\]where $ T $ is the reactor temperature, $ K_{\text{eq}} $ is the reaction equilibrium constant, and $ y_i $ is the mole fraction of species $ i $ in the reactor contents at equilibrium.The feed to a batch shift reactor contains 30.0 mol% CO, 10.0 mol% CO₂, 40.0 mol% H₂O, and the balance is an inert gas. The reactor is maintained at $ T = 1223 \text{ K} $. **Degrees of Freedom**For the batch reaction as specified above, carry out a degree-of-freedom analysis.- **How many elemental balances may be written?** [Input box]- **How many degrees of freedom remain?** [Input box]Additional Resources:- **eTextbook and Media**- **Hint**Note: There are no graphs or diagrams in this image.

Answered: Image /qna-images/answer/dcb7cc32-09a7-4728-8195-1cd099f90c45.jpg

Answered: For the batch reaction as specified…

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

Problem 1.1P

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Question

Help with the following question.

At low to moderate pressures, the equilibrium state of the water-gas shift reaction:

\[ \text{CO} + \text{H}_2\text{O} \rightleftarrows \text{CO}_2 + \text{H}_2} \]

is approximately described by the relation:

\[
\frac{y_{\text{CO}_2} \cdot y_{\text{H}_2}}{y_{\text{CO}} \cdot y_{\text{H}_2\text{O}}} = K_{\text{eq}}(T) = 0.0247 \exp\left[\frac{4020}{T (\text{K})}\right]
\]

where $ T $ is the reactor temperature, $ K_{\text{eq}} $ is the reaction equilibrium constant, and $ y_i $ is the mole fraction of species $ i $ in the reactor contents at equilibrium.

The feed to a batch shift reactor contains 30.0 mol% CO, 10.0 mol% CO₂, 40.0 mol% H₂O, and the balance is an inert gas. The reactor is maintained at $ T = 1223 \text{ K} $.

**Degrees of Freedom**

For the batch reaction as specified above, carry out a degree-of-freedom analysis.

- **How many elemental balances may be written?**
[Input box]

- **How many degrees of freedom remain?**
[Input box]

Additional Resources:
- **eTextbook and Media**
- **Hint**

Note: There are no graphs or diagrams in this image.

Expert Solution

Step 1: Given data:

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