   # For the decomposition of solid calcium carbonate at 25 °C, CaCO 3 (s) → CaO(s) + CO 2 (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 partial pressure of carbon dioxide is 0.10 atm in the presence of both calcium carbonate and calcium oxide. 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 32PS
Textbook Problem
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## For the decomposition of solid calcium carbonate at 25 °C,CaCO3(s) → CaO(s) + CO2(g) (a) Calculate ΔrG° using values of ΔfG°. Is the reaction product-favored at equilibrium? (b) Calculate ΔrG when the partial pressure of carbon dioxide is 0.10 atm in the presence of both calcium carbonate and calcium oxide. Is the reaction spontaneous under these conditions?

(a)

Interpretation Introduction

Interpretation:

The ΔrG° value for given reaction should be calculated by using ΔfGo and should be identified that whether the given 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 + bBcC + dD

Q = [C]c[D]d[A]a[B]b

### Explanation of Solution

The ΔrG° value for the given reaction is calculated below.

Given:

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

The given reaction is,

CaCO3(s)CaO(s)+CO2(g)

The ΔfG° for CaCO3(s) is 1129.16 kJ/mol.

The ΔfG° for CaO(s) is 603.42 kJ/mol.

The ΔfG° for CO2(g) is 394.359 kJ/mol.

ΔrG°fG°(products)fG°(reactants)=[[(1 mol CaO(s)/mol-rxn)ΔfG°[CaO(s)</

(b)

Interpretation Introduction

Interpretation:

The ΔrG° value for given reaction should be calculated when partial pressure of carbon dioxide is 0.10atm in presence of both calcium carbonate and calcium oxide and identified that reaction is spontaneous under such given 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 + bBcC + dD

Q = [C]c[D]d[A]a[B]b

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