Chapter 22, Problem 82GQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# The transition metals form a class of compounds called metal carbonyls, an example of which is the tetrahedral complex Ni(CO)4. Given the following thermodynamic data (at 298 K):(a) Calculate the equilibrium constant for the formation of Ni(CO)4(g) from nickel metal and CO gas.(b) Is the reaction of Ni(s) and CO(g) product- or reactant-favored at equilibrium?(c) Is the reaction more or less product-favored at higher temperatures? How could this reaction be used in the purification of nickel metal?

(a)

Interpretation Introduction

Interpretation: The given question to be answered.

Concept introduction:

Equilibrium constant:   A number that expresses the relationship between the amounts of products and reactants present at equilibrium in a reversible chemical reaction at given temperature.

Gibb’s equation: A thermodynamic equation used for calculating changes in Gibbs energy of a system as a function of temperature.

ΔrGo=ΔrHoTΔrSowhere,ΔrGogibbsfreeenergyTtemperatureΔSEntropychangeΔHEnthalpychange

Explanation

From the given thermodynamic data, the enthalpy of given reaction is calculated below,

Î”rHo=â€‰âˆ‘nâ€‰Hfoâ€‰(products)â€‰âˆ’â€‰âˆ‘nâ€‰Hfoâ€‰(reactants)â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=Â [âˆ’602.9kJ/mol]âˆ’[(4Ã—â€‰-110.525â€‰kJ/mol)+(0)]â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€‰âˆ’602.9+442.1â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€‰â€‰âˆ’160.8â€‰â€‰kJ/mol

From the given thermodynamic data, the entropy of given reaction is calculated below,

Î”rSo=â€‰âˆ‘nâ€‰Sfoâ€‰(products)â€‰âˆ’â€‰âˆ‘nâ€‰Sfoâ€‰(reactants)â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=Â [+410.6â€‰â€‰J/K.mol]âˆ’[(4Ã—197.674Â J/K.mol)+(29.87â€‰â€‰J/K.mol)]â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€‰â€‰+â€‰410.6âˆ’820

b.

Interpretation Introduction

Interpretation: The given question to be answered.

Concept introduction:

Equilibrium constant:  A number that expresses the relationship between the amounts of products and reactants present at equilibrium in a reversible chemical reaction at given temperature.

Gibb’s equation: A thermodynamic equation used for calculating changes in Gibbs energy of a system as a function of temperature.

ΔrGo=ΔrHoTΔrSowhere,ΔrGogibbsfreeenergyTtemperatureΔSEntropychangeΔHEnthalpychange

c.

Interpretation Introduction

Interpretation: The given question to be answered.

Concept introduction:

Equilibrium constant:   A number that expresses the relationship between the amounts of products and reactants present at equilibrium in a reversible chemical reaction at given temperature.

Gibb’s equation: A thermodynamic equation used for calculating changes in Gibbs energy of a system as a function of temperature.

ΔrGo=ΔrHoTΔrSowhere,ΔrGogibbsfreeenergyTtemperatureΔSEntropychangeΔHEnthalpychange

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