   # When calcium carbonate is heated strongly, CO 2 gas is evolved. The equilibrium pressure of CO 2 is 1.00 bar at 897 °C, and Δ r H ° at 298 K is 179.0 kJ/mol-rxn. CaCO 3 (s) → CaO(s) + CO 2 (g) Estimate the value of Δ r S ° at 897 °C for the reaction. ### 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 46GQ
Textbook Problem
5 views

## When calcium carbonate is heated strongly, CO2 gas is evolved. The equilibrium pressure of CO2 is 1.00 bar at 897 °C, and ΔrH° at 298 K is 179.0 kJ/mol-rxn.CaCO3(s) → CaO(s) + CO2(g)Estimate the value of ΔrS° at 897 °C for the reaction.

Interpretation Introduction

Interpretation:

The value of ΔrS° for the given reaction should be estimated.

Concept introduction:

The Gibbs free energy or the free energy change is a thermodynamic quantity represented by ΔG. It is related to entropy and enthalpy by the following expression,

ΔGo=ΔHo-TΔSo

The value of change in entropy can be calculated if the ΔH and ΔS is known.

ΔG is also related to the equilibrium constant K by the equation,

ΔrGo=-RTlnKp

Here Kp is the equilibium constant and is equal to the partial pressure of gases in the product over the reactants.

### Explanation of Solution

The value of ΔrS° for the given reaction of decomposition of calcium carbonate is calculated below.

The given reaction is,

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

The equilibrium pressure of CO2(g) is 1 bar at 897 °C.

The value of Kp is,

Kp=pco2(g)

Thus,

Kp=1 bar

ΔG is related to the equilibrium constant K by the equation,

ΔrG=RTlnKp

Substituting the values,

ΔrG=RTlnKp=(8

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Ammonium phosphate, (NH4)3PO4, has how many oxygen atoms for each nitrogen atom?

General Chemistry - Standalone book (MindTap Course List)

What are the features of a healthy high-fat diet?

Understanding Nutrition (MindTap Course List)

Saturation refers to the ability of a fat to penetrate a barrier, such as paper. whether or not a fatty acid ch...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What impact has recombinant DNA technology had on genetics and society?

Human Heredity: Principles and Issues (MindTap Course List)

Three point charges are located on a circular arc as shown in Figure P22.19. (a) What is the total electric fie...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Which type of sediment is most abundant?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin 