   # Using data from Appendix 4, calculate ∆G for the reaction NO ( g ) + O 3 ( g ) → NO 2 ( g ) + O 2 ( g ) for these conditions: T = 298 K P NO = 1.00 × 10 − 6 atm , P O 3 = 2.00 × 10 − 6 atm P NO 2 = 1.00 × 10 − 7 atm , P O 2 = 1.00 × 10 − 3 atm ### 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 65E
Textbook Problem
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## Using data from Appendix 4, calculate ∆G for the reaction NO ( g ) + O 3 ( g ) → NO 2 ( g ) + O 2 ( g ) for these conditions: T = 298 K P NO = 1.00 × 10 − 6 atm , P O 3 = 2.00 × 10 − 6 atm P NO 2 = 1.00 × 10 − 7 atm , P O 2 = 1.00 × 10 − 3 atm

Interpretation Introduction

Interpretation: The reaction between NO and O3 , pressure of each reactant, product and value of temperature of this reaction is given. The value of ΔG is to be calculated by using data from Appendix 4 .

Concept introduction: Reaction quotient, Q , is the measure of concentration or partial pressure of reactants and products of a system before equilibrium point is reached.

ΔG=ΔG°+RTln(Q)

### Explanation of Solution

The reaction that takes place is,

NO(g)+O3(g)NO2(g)+O2(g)

Refer to Appendix 4 .

The value of ΔG°(kJ/mol) for the given reactant and product is,

 Molecules ΔG°(kJ/mol) NO(g) 87 O3(g) 163 NO2(g) 52 O2(g) 0

The formula of ΔG° is,

ΔG°=npΔG°(product)nfΔG°(reactant)

Where,

• np is number of moles of product.
• nr is number of moles of reactant.
• ΔG°(product) is free energy of product at a pressure of 1atm .
• ΔG°(reactant) is free energy of reactant at a pressure of 1atm .

Substitute all values from the table in the above equation.

ΔG°=npΔG°(product)nfΔG°(reactant)=[(0+52)(87+163)]kJ=198kJ_

Given

Pressure of NO , PNO , is 1.00×106atm .

Pressure of O3 , PO3 , is 2.00×106atm .

Pressure of NO2 , PNO2 , is 1.00×107atm .

Pressure of O2 , PO2 , is 1.00×103atm .

Formula

The reaction quotient is expressed by the formula,

Q=PressureofproductsPressureofreactants

Where,

• Q is the reaction quotient.

The reaction quotient expression for the given reaction is,

Q=(PNO2)(PO2)(PNO)(PO3)

Substitute the values of PNO,PO3,PNO2 and PO2 in the above expression

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