   # Methanol is now widely used as a fuel in race cars. Consider the following reaction as a possible synthetic route to methanol. C(graphite) + ½ O 2 (g) + 2 H 2 (g) ⇄ CH 3 OH( ℓ ) Calculate K p for the formation of methanol at 298 K using this reaction. Would this reaction be more product-favored at a different temperature? ### 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 41GQ
Textbook Problem
38 views

## Methanol is now widely used as a fuel in race cars. Consider the following reaction as a possible synthetic route to methanol.C(graphite) + ½ O2(g) + 2 H2(g) ⇄ CH3OH(ℓ)Calculate Kp for the formation of methanol at 298 K using this reaction. Would this reaction be more product-favored at a different temperature?

Interpretation Introduction

Interpretation:

The Kp for methanol formation should be calculated and should be identified that whether the reaction will be more product favoured at different temperatures.

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°=nΔfG°(products)nΔfG°(reactants)

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

ΔrG=RTlnKp

The rearranged expression is,

Kp=eΔrGRT

### Explanation of Solution

The ΔrG° and the equilibrium constant for the given reaction is calculated below.

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

The ΔfG° for C(graphite) is 0 kJ/mol.

The ΔfG° for O2(g) is 0 kJ/mol.

The ΔfG° for H2(g) is 0 kJ/mol.

The ΔfG° for CH3OH(l) is 166.14 kJ/mol.

The given reaction is,

C(graphite)+12O2(g)+2H2(g)CH3OH(l)

ΔrG°=nΔfG°(products)nΔfG°(reactants)=[(1 mol CH3OH(l)/mol-rxn)ΔfG°[CH3OH(l)][(1 mol C(graphite)/mol-rxn)ΔfG°[C(graphite)]+(0

### 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
A diet book that addresses eicosanoids and adipokines can be relied upon to reflect current scholarship in nutr...

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

In what way has biotechnology had an impact on agriculture in the United States?

Human Heredity: Principles and Issues (MindTap Course List)

When will the eclipse described in Problem 7 next be total as seen from Canada?

Horizons: Exploring the Universe (MindTap Course List)

(Chemical Connections 3IB) Why are allergies to antibiotics dangerous?

Introduction to General, Organic and Biochemistry

A person balances a meterstick in a horizontal position on the extended index fingers of her right and left han...

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