   # A crucial reaction for the production of synthetic fuels is the production of H 2 by the reaction of coal with steam. The chemical reaction is C(s) + H 2 O(g)→ CO(g) + H 2 (g) (a) Calculate Δ r G ° for this reaction at 25 °C, assuming C(s) is graphite. (b) Calculate K p for the reaction at 25 °C. (c) Is the reaction predicted to be product-favored at equilibrium at 25 °C? If not, at what temperature will it become so? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 18, Problem 54GQ
Textbook Problem
1 views

## A crucial reaction for the production of synthetic fuels is the production of H2 by the reaction of coal with steam. The chemical reaction isC(s) + H2O(g)→ CO(g) + H2(g) (a) Calculate ΔrG° for this reaction at 25 °C, assuming C(s) is graphite. (b) Calculate Kp for the reaction at 25 °C. (c) Is the reaction predicted to be product-favored at equilibrium at 25 °C? If not, at what temperature will it become so?

(a)

Interpretation Introduction

Interpretation:

The ΔrG° for the production of H2 by reaction of coal with steam should be calculated.

Concept introduction:

The Gibbs free energy or the free energy change is a thermodynamic quantity represented by ΔrG°. It can be calculated in a similar manner as entropy and enthalpy.  The expression for the free energy change is:

ΔrG°fG°(products)fG°(reactants)

ΔrG° is related to the equilibrium constant K by the equation,

ΔrGo= -RTlnKp

The rearranged expression is,

Kp= eΔrGoRT

### Explanation of Solution

The ΔrG° for the given reaction is calculated below.

Given:

The Appendix L referred for the values of standard free energy values.

The given reaction is,

C(s) + H2O(g)CO(g)+H2(g)

The ΔrG° for C(s) is 0 kJ/mol.

The ΔrG° for H2O(g) is 228.59 kJ/mol.

The ΔrG° for CO(g) is 137.168 kJ/mol.

The ΔrG° for H2(g) is 0 kJ/mol.

ΔrG°fG°(products)fG°(reactants)=[[(1 mol CO(g)/mol-rxn)ΔfG°[CO(g)]+(1 mol H2(

(b)

Interpretation Introduction

Interpretation:

The equilibrium constant, Kp for the production of H2 by reaction of coal with steam should be calculated.

Concept introduction:

The Gibbs free energy or the free energy change is a thermodynamic quantity represented by ΔrG°. It can be calculated in a similar manner as entropy and enthalpy.  The expression for the free energy change is:

ΔrG°fG°(products)fG°(reactants)

ΔrG° is related to the equilibrium constant K by the equation,

ΔrGo= -RTlnKp

The rearranged expression is,

Kp= eΔrGoRT

(c)

Interpretation Introduction

Interpretation:

It should be predicted that whether the reaction is product favoured at equilibrium at temperature 25oC or at temperature it reach equilibrium.

Concept introduction:

The Gibbs free energy or the free energy change is a thermodynamic quantity represented by ΔrG°. It can be calculated in a similar manner as entropy and enthalpy.  The expression for the free energy change is:

ΔrG°fG°(products)fG°(reactants)

ΔrG° is related to the equilibrium constant K by the equation,

ΔrGo= -RTlnKp

The rearranged expression is,

Kp= eΔrGoRT

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
On average, young men in the United States obtain percent of their calories from beverages. a. 12 b. 22 c. 32 d...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What evidence can you give that granulation is caused by convection?

Horizons: Exploring the Universe (MindTap Course List)

In the following diagram, designate each daughter cell as diploid (2n) or haploid (n).

Human Heredity: Principles and Issues (MindTap Course List)

29-16 Is ACP an enzyme?

Introduction to General, Organic and Biochemistry

The compression ratio of an Otto cycle as shown in Figure 21.12 is VA/VB = 8.00. At the beginning A of the comp...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Why does nuclear fusion require high temperatures and high densities?

Foundations of Astronomy (MindTap Course List)

What factors influence the density of seawater?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin 