   # For the synthesis of ammonia from its elements at 25 °C, N 2 (g) + 3 H 2 (g) → 2 NH 3 (g) (a) Calculate Δ r G ° using values of Δ f G °. Is the reaction product-favored at equilibrium? (b) Calculate Δ r G when the reactants and product are each present at a partial pressure of 0.10 atm. Is the reaction spontaneous under these conditions? ### 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 31PS
Textbook Problem
1 views

## For the synthesis of ammonia from its elements at 25 °C,N2(g) + 3 H2(g) → 2 NH3(g) (a) Calculate ΔrG° using values of ΔfG°. Is the reaction product-favored at equilibrium? (b) Calculate ΔrG when the reactants and product are each present at a partial pressure of 0.10 atm. Is the reaction spontaneous under these conditions?

(a)

Interpretation Introduction

Interpretation:

The ΔrG° for the given reaction should be calculated using ΔfG° values and identified that reaction is product favoured at 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 reaction quotient Q by the expression,

ΔrG = ΔrG°+ RT lnQ

For a general reaction, aA + bB cC + dD

Q = [C]c[D]d[A]a[B]b

### Explanation of Solution

The ΔrGo for the given reaction is calculated below.

Given:

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

The given reaction is,

N2(g)+3H2(g)2NH3(g)

The ΔfG° value for NH3(g) is 16.37 kJ/mol.

The ΔfG° value for H2(g) is 0 kJ/mol.

The ΔfG° value for N2(g) is 0 kJ/mol.

ΔrG°fG°(products)fG°(reactants)[(2 mol NH3(g)/mol-rxn)ΔfG°[

(b)

Interpretation Introduction

Interpretation:

The ΔrG° for the given reaction should be calculated when both reactants and product are present at partial pressure of 0.10atm and should be identified that the reaction is spontaneous under such conditions.

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 reaction quotient Q by the expression,

ΔrG = ΔrG°+ RT lnQ

For a general reaction, aA + bB cC + dD

Q = [C]c[D]d[A]a[B]b

### 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
Chylomicrons, a class of lipoprotein, are produced in the live. T F

Nutrition: Concepts and Controversies - Standalone book (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)

Describe four of the nutritional benefits of human milk to the infant.

Nutrition Through the Life Cycle (MindTap Course List)

(i) What happens to the magnitude of the charge 011 each plate of a capacitor if the potential difference betwe...

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

Name a western boundary current. An eastern boundary current.

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