Chemistry: Atoms First
Chemistry: Atoms First
3rd Edition
ISBN: 9781259638138
Author: Julia Burdge, Jason Overby Professor
Publisher: McGraw-Hill Education
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Question
Chapter 25, Problem 25.63QP
Interpretation Introduction

Interpretation:

For the formation of NO2 , the values of ΔGo , Kp and Kc have to be calculated.

Expert Solution & Answer
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Answer to Problem 25.63QP

  • Gibb’s free energy change for the given reaction

ΔGo=-198.3kJmol

  • For the given reaction the value of Kp

Kp=6×1034

  • For the given reaction the value of Kc

KC=6×1034

Explanation of Solution

To calculate: Gibb’s free energy change for the formation of NO2

Formation reaction of NO2

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

General equation for calculation of Gibb’s free energy change of the given reaction

ΔGo=ΔGfo(products)-ΔGfo(reactants)ΔGo-freeenergychangeofthereactionΔGfo-freeenergychangeofformation

Apply the formula for the given reaction

Substances in elemental form (here oxygen) have Gibb’s free energy of formation value is zero.

ΔGo=ΔGfo(NO2)+ΔGfo(O2)-[ΔGfo(NO)+ΔGfo(O3)]ΔGo=((1)(51.8)+(0)-[(1)(86.7)+(1)(163.4)])kJmol=-198.3kJmol

Gibb’s free energy change for the formation of NO2 is calculated as -198.3kJmol

Gibb’s free energy change for the formation of NO2 molecule is calculated by the application of general equation of free energy change.

To calculate: The Kp value for the given reaction

The relationship between ΔGo and Kp is given by

ΔGo=-RTlnKpR-gas constant; T - temperature; Kp - equilibrium constant at partial pressure

Modify the above equation

lnKp=-ΔGoRT

Substitute the values of ΔGo , T and R

lnKp=-198.3×103Jmol(8.314Jmol)(298K)Kp=6×1034

By the use of relationship between ΔGo and Kp .  The value of Kp is calculated as 6×1034

To calculate: The Kc value for the given reaction

The relationship between Kc and Kp is given by

Kp=Kc(0.08206T)ΔnΔn-changeinnumberofmoles

Here no change in number of moles, therefore, Δn=0

Kp=Kc=6×1034

By the use of relationship between Kc and Kp .  The value of Kc is calculated as 6×1034

Conclusion

For the formation of NO2 , the values of ΔGo , Kp and Kc were calculated.

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Chapter 25 Solutions

Chemistry: Atoms First

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