   # Consider the equation ∆G = ∆G ° + RT ln( Q ). What is the value of ∆ G for a reaction at equilibrium? What does Q equal at equilibrium? At equilibrium, the previous equation reduces to ∆G° = − RT ln( K ). When ∆ G ° &gt; 0, what does it indicate about K ? When ∆G ° &lt; 0, what does it indicate about K? When t ∆ G ° = 0, what does it indicate about K ? ∆G predicts spontaneity for a reaction, whereas ∆G ° predicts the equilibrium position. Explain what this statement means. Under what conditions can you use ∆ G ° to determine the spontaneity of a reaction? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 16, Problem 8RQ
Textbook Problem
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## Consider the equation ∆G = ∆G° + RT ln(Q). What is the value of ∆G for a reaction at equilibrium? What does Q equal at equilibrium? At equilibrium, the previous equation reduces to ∆G° = −RT ln(K). When ∆G° > 0, what does it indicate about K? When ∆G° < 0, what does it indicate about K? When t ∆G° = 0, what does it indicate about K? ∆G predicts spontaneity for a reaction, whereas ∆G° predicts the equilibrium position. Explain what this statement means. Under what conditions can you use ∆G° to determine the spontaneity of a reaction?

Interpretation Introduction

Interpretation: The answers of various questions based upon Gibbs free energy is to be stated.

Concept introduction: Thermodynamics is associated with heat, temperature and its relation with energy and work. It helps us to predict whether a process will take place or not. But it gives no information about the time required for the process. The terms associated with thermodynamics are system, surrounding, entropy, spontaneity and many more.

To determine: The answers of various questions based upon Gibbs free energy.

### Explanation of Solution

The given equation is ΔG=ΔG0+RTln(Q) .

At equilibrium, ΔG is zero and Q becomes K .

Therefore, the value of ΔG=RTlnK .

When ΔG0>0 , K will be less than 1 .

When ΔG0>0 , K=eΔG0RT which is less than one.

When ΔG0<0 , K=eΔG0RT which is greater than one

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